1. Section 4.5 Graphs of Sine and Cosine Functions

2. The Graph of y=sin x

4. Continuation of the previous problem showing 3 cycles

5. Graphing Variations of y=sin x

6. Graphing y=2 Sin x

8. Graphing y=½ Sin x

9. Graphing y=-2 Sin x

11. Graphing y=3 Sin 2x

14. The Effect of Horizontally Shifting the Graph

15. Example

21. The Graph of y=cos x

23. Graphing Variations of y= cos x

25. Cosine with a Different Amplitude and Period

27. Example

29. Vertical Shifts of Sinusoidal Graphs

30. Cosine Function with a Vertical Shift

31. Example

33. Modeling Periodic Behavior

34. Example 20 10 The number of hours after midnight. 2 6 10 14 18 22 26

35. (a) (b) (c) (d)

36. (a) (b) (c) (d)

37. (a) (b) (c) (d)