1. Trigonometry Review

2. Angle Measurement To convert from degrees to radians, multiply byTo convert from radians to degrees, multiply by radians, so radians

3. Special Angles r=1

4. Special Angles - Unit Circle Coordinates r=1 π/3 5π/6 π/4 π/2 2π/3 3π/4 π/6 π0 3π/2

5. Trig Functions - Definitions (x,y) r 

6. Trig Functions - Definitions  opp adj hyp

7. Trig Functions - Definitions

8. Trig Functions Signs by quadrants all functions positivesin, csc positive tan, cot positivecos, sec positive

9. Special Angles - Triangles example:

10. Special Angles - Triangles

11. Special Angles - Unit Circle r=1

12. Special Angles For the angles example: Use the unit circle points (1,0), (0,1), (-1,0) and (0,-1) or look at the graphs for the trig functions r = 1 (1,0) (0,1) (0,-1) (-1,0)

13. Graphing Trigonometry Functions Basic Graphs y = sin x 1 -π/2π/2π3π/22π2π Period is and amplitude is 1.

14. Graphing Trigonometry Functions Basic Graphs -π/2π/2π3π/22π2π y = cos x 1 Period is and amplitude is 1.

15. Special Angles and Graphs Using the graph for

16. Graphing Trig Functions Amplitude Change y= a sin x stretches or compresses the graph vertically y = a sin x a -a -π/2π/2π3π/22π2π Period is and amplitude is a.

17. Graphing Trig Functions Phase Shift y = sin(x - b) slides graph right by b units b 1 2π+b y = sin(x - b) Period is and amplitude is 1.

18. Graphing Trig Functions Phase Shift y = sin(x + b) slides graph left by b units 1 -b2π - b y = sin(x + b) Period is and amplitude is 1.

19. Graphing Trig Functions Period Change y = sin cx stretches or compresses the graph horizontally 1 2π/c Period is and amplitude is 1.

20. Trig Identities ReciprocalQuotient

21. Trig Identities Pythagorean

22. Trig Identities Double Angle

23. Trig Identities Sum and difference

24. Inverse Trig Functions is equivalent to

25. Solving Trig Equations Use algebra, then inverse trig functions or knowledge of special angles to solve. example: if in quadrants I and II and since