1. Section 5.5 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

16. Example

17. Example

18. Example

19. Example

20. 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

28. Example

29. Vertical Shifts of Sinusoidal Graphs

30. Cosine Function with a Vertical Shift

31. Example

32. Example

33. Modeling Periodic Behavior

34. Example 20 10
The number of hours after midnight.

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

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

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