7.3 addition & subtraction formulas 33 22 11 special angles, co-functions & quadrants...

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7.3 Addition & Subtraction Formulas 3 2 1 Special Angles, Co- functions & Quadrants Addition & Subtraction Formulas Practice Problems

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Page 1: 7.3 Addition & Subtraction Formulas 33 22 11 Special Angles, Co-functions & Quadrants Addition & Subtraction Formulas Practice Problems

7.3 Addition & Subtraction Formulas

3

2

1Special Angles, Co-functions & Quadrants

Addition & Subtraction Formulas

Practice Problems

Page 2: 7.3 Addition & Subtraction Formulas 33 22 11 Special Angles, Co-functions & Quadrants Addition & Subtraction Formulas Practice Problems

2

Special Angles

Degrees

Radians

SIN COS TAN COT SEC CSC

0˚ 0 0 1 0 U 1 U

30˚ 245˚ 1 160˚ 290˚ 1 0 U 0 U 1

2

2

2

2

2

16

2

4

3

2

32

1

2

3

3

3

3

3

3

3

3

32

2 2

3

32

Page 3: 7.3 Addition & Subtraction Formulas 33 22 11 Special Angles, Co-functions & Quadrants Addition & Subtraction Formulas Practice Problems

3

Special Angles (Cont.)

Degrees Radians SIN COS

135˚180˚ 0 -1225˚270˚ -1 0315˚

4

3

4

5

2

3

4

7

2

2

2

2

2

2

2

2

2

22

2

Page 4: 7.3 Addition & Subtraction Formulas 33 22 11 Special Angles, Co-functions & Quadrants Addition & Subtraction Formulas Practice Problems

4

Cofunctions

cossin cofunction sincos cofunction

cscsec cofunction seccsc cofunction

cottan cofunction tancot cofunction

Page 5: 7.3 Addition & Subtraction Formulas 33 22 11 Special Angles, Co-functions & Quadrants Addition & Subtraction Formulas Practice Problems

5

Signs of Trigonometric Functions

Page 6: 7.3 Addition & Subtraction Formulas 33 22 11 Special Angles, Co-functions & Quadrants Addition & Subtraction Formulas Practice Problems

6

Addition & Subtraction Formulas

vuvuvu sinsincoscos)cos(

vuvuvu sinsincoscos)cos(

vuvuvu sincoscossin)sin(

vuvuvu sincoscossin)sin(

Page 7: 7.3 Addition & Subtraction Formulas 33 22 11 Special Angles, Co-functions & Quadrants Addition & Subtraction Formulas Practice Problems

7

Addition & Subtraction Formulas

vu

vuvu

tantan1

tantan)tan(

vu

vuvu

tantan1

tantan)tan(

Page 8: 7.3 Addition & Subtraction Formulas 33 22 11 Special Angles, Co-functions & Quadrants Addition & Subtraction Formulas Practice Problems

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Examples

Page 9: 7.3 Addition & Subtraction Formulas 33 22 11 Special Angles, Co-functions & Quadrants Addition & Subtraction Formulas Practice Problems

9

More Examples

Page 10: 7.3 Addition & Subtraction Formulas 33 22 11 Special Angles, Co-functions & Quadrants Addition & Subtraction Formulas Practice Problems

10

Practice Problems

Page 531Problems 1-22

Page 11: 7.3 Addition & Subtraction Formulas 33 22 11 Special Angles, Co-functions & Quadrants Addition & Subtraction Formulas Practice Problems

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Practice Problems

Page 531Problems 23-44