1 - 2 2 - 1 -=- -=- 12#

158 - 8

17 1517 - 8

15 - 178 17

15 - 12#

512 5

12 - 513 - 12

5 512 - 13

5 - 11#

43 3

5 45 3

4 53 5

4 11#

cot sec csc tan cos sin

packet

22

21

22

21b

a

b

a

θθθθθθ

sin > 0cos < 0tan < 0

csc > 0sec < 0 cot < 0

sin > 0cos > 0tan > 0

csc > 0sec > 0 cot > 0

sin < 0cos < 0tan > 0

csc < 0sec < 0 cot > 0

sin < 0cos > 0tan < 0

csc < 0sec > 0 cot < 0

#13a. sin <0 , cos <0 in quadrant III

#13b. sec >0 , cot <0 in quadrant IV

#14a. sin>0 , cos <0 in quadrant II

#14b. csc>0 , tan >0 in quadrant III

Quadrant IQuadrant 2

Quadrant 4Quadrant 3

1213 =csc .18# 3

4=cot #17.

42 =

221 =tan .16# 2

3 =cos .15#

θθ

θθ

#23a. 0.1736#23b. 5.759

#24a. -1.414#24b. -1.414

#25a. 0.3640#25b. 0.3640

#26a. 0.2244#26b. 4.4552

1 - 2 2 - 1 -=- -=- 12#

158 - 8

17 1517 - 8

15 - 178 17

15 - 12#

512 5

12 - 513 - 12

5 512 - 13

5 - 11#

43 3

5 45 3

4 53 5

4 11#

cot sec csc tan cos sin

packet

22

21

22

21b

a

b

a

θθθθθθ

sin > 0cos < 0tan < 0

csc > 0sec < 0 cot < 0

sin > 0cos > 0tan > 0

csc > 0sec > 0 cot > 0

sin < 0cos < 0tan > 0

csc < 0sec < 0 cot > 0

sin < 0cos > 0tan < 0

csc < 0sec > 0 cot < 0

#13a. sin <0 , cos <0 in quadrant III

#13b. sec >0 , cot <0 in quadrant IV

#14a. sin>0 , cos <0 in quadrant II

#14b. csc>0 , tan >0 in quadrant III

Quadrant IQuadrant 2

Quadrant 4Quadrant 3

1213 =csc .18# 3

4=cot #17.

42 =

221 =tan .16# 2

3 =cos .15#

θθ

θθ

#23a. 0.1736#23b. 5.759

#24a. -1.414#24b. -1.414

#25a. 0.3640#25b. 0.3640

#26a. 0.2244#26b. 4.4552

#11a. sin(-10) -0.174 #12a. Tan(-10)-.0176

#11b & 12b. -10 is 10 degrees in the clockwise direction from the initial ray. That is quadrant IV where cosine is positive, sine and tangent are both negative.

#13. In quadrant II a. cos < 0 b. sin < 0 c. tan >0

#14. sin<0 , cos <0 in quadrant III

x

y

x

y

x

y

#8. Since tangent is equal to sine divided by cosine, tangent will be undefined when cosine is equal to zero or at …- , . , …

#9 200 #10

#6a. sin(-) =1

b. cos (-) = 0

c. tan (-) is undefined

#7a. sin(540) = 0

b. cos (540) = -1

c. tan (540) = 0

x

y

x

y

p.249

#11a. sin(-10) -0.174 #12a. Tan(-10)-.0176

#11b & 12b. -10 is 10 degrees in the clockwise direction from the initial ray. That is quadrant IV where cosine is positive, sine and tangent are both negative.

#13. In quadrant II a. cos < 0 b. sin < 0 c. tan >0

#14. sin<0 , cos <0 in quadrant III

x

y

x

y

x

y

#8. Since tangent is equal to sine divided by cosine, tangent will be undefined when cosine is equal to zero or at …- , . , …

#9 200 #10

#6a. sin(-) =1

b. cos (-) = 0

c. tan (-) is undefined

#7a. sin(540) = 0

b. cos (540) = -1

c. tan (540) = 0

x

y

x

y

p.249