7.3 addition & subtraction formulas

11
7.3 Addition & Subtraction Formulas 3 2 1 Special Angles, Co- functions & Quadrants Addition & Subtraction Formulas Practice Problems

Upload: judson

Post on 11-Feb-2016

47 views

Category:

Documents


0 download

DESCRIPTION

7.3 Addition & Subtraction Formulas. 1. Special Angles, Co-functions & Quadrants. 2. Addition & Subtraction Formulas. 3. Practice Problems. Special Angles. Special Angles (Cont.). Cofunctions. Signs of Trigonometric Functions. Addition & Subtraction Formulas. - PowerPoint PPT Presentation

TRANSCRIPT

Page 1: 7.3 Addition & Subtraction Formulas

7.3 Addition & Subtraction Formulas

3

2

1Special Angles, Co-functions & Quadrants

Addition & Subtraction Formulas

Practice Problems

Page 2: 7.3 Addition & Subtraction Formulas

2

Special AnglesDegrees

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

22

22

21

6

2

4

3

23

21

23

33

3

3

33

332

2 2

332

Page 3: 7.3 Addition & Subtraction Formulas

3

Special Angles (Cont.)Degrees Radians SIN COS

135˚180˚ 0 -1225˚270˚ -1 0315˚

43

45

23

47

22

22

22

22

22

22

Page 4: 7.3 Addition & Subtraction Formulas

4

Cofunctions

cossin cofunction sincos cofunction

cscsec cofunction seccsc cofunction

cottan cofunction tancot cofunction

Page 5: 7.3 Addition & Subtraction Formulas

5

Signs of Trigonometric Functions

Page 6: 7.3 Addition & Subtraction Formulas

6

Addition & Subtraction Formulas

vuvuvu sinsincoscos)cos(

vuvuvu sinsincoscos)cos(

vuvuvu sincoscossin)sin(

vuvuvu sincoscossin)sin(

Page 7: 7.3 Addition & Subtraction Formulas

7

Addition & Subtraction Formulas

vuvuvu

tantan1tantan)tan(

vuvuvu

tantan1tantan)tan(

Page 8: 7.3 Addition & Subtraction Formulas

8

Examples

Page 9: 7.3 Addition & Subtraction Formulas

9

More Examples

Page 10: 7.3 Addition & Subtraction Formulas

10

Practice Problems Page 531

Problems 1-22

Page 11: 7.3 Addition & Subtraction Formulas

11

Practice Problems Page 531

Problems 23-44