©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25

©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC

Math Analysis Honors - Worksheet 96

©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H

Double-Angle and Half-Angle Identities

Use a double-angle or half-angle identity to find the exact value of each expression.

1) cos

7

π

82) sin

7

π

8

3) sin

165°4) sin

112

1

2°

5) sin

15°6) cos

23

π

12

7) sin

22

1

2° 8) sin

−5

π

12

9) cos

3

π

8

10) sin

75°

11) sin

θ =

−8

17 and 180° <

θ < 270°

Find cos

θ

2

12) sin

θ =

−7

25 and

3

π

2 <

θ < 2

π

Find sin

2

θ

13) sin

θ =

−9

22 and 270° <

θ < 360°

Find cos

2

θ

14) cos

θ =

4

5 and 270° <

θ < 360°

Find cos

θ

2

15) cos

θ =

−4

5 and −270° <

θ < −180°

Find sin

θ

2

16) cos

θ =

4

5 and 0 <

θ <

π

2

Find cos

2

θ

©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

Answers to Double-Angle and Half-Angle Identities

1)

−

2 + 2

22)

2 −

2

2

3)

6 −

2

44)

2 + 2

2

5)

6 −

2

46)

6 + 2

47)

2 −

2

2

8)

− 6 −

2

4

9)

2 −

2

2

10)

6 + 2

411)

−

17

17

12)

−336

625

13)

161

24214)

−

3 10

1015)

−

3 10

10

16)

7

25