1. What is the amplitude and period of

2. Amplitude 7 Period 12π

3. Write an equation for a cosine wave with a phase shift of -3 and a period of 3π/2.

4. y=cos(4/3(x+3))

5. Find the phase shift, period, amplitude, and vertical shift of

6. phase shift -3π/10 period π/5 amplitude 5 vertical shift 3

7. Find all solutions to between 0 o and 720 o, round your answers to the nearest hundredth.

8. 45.58 o 1 34.42 o 4 05.58 o 4 94.42 o

9. Find the general solution to in radians. (No Calculator)

10. π/3+2πn -π/3+2πn

11. The function f(x) = cos -1 (x) is defined for what angles?

12. 0≤x≤π

13. Identify the functions that are graphed below.

14. y=sec(x) y = sin -1 (x)

15. What is the maximum and minimum of

16. Maximum 11 Minimum 1

17. Calculate the following without a calculator

20. π/3

21. Calculate the following without a calculator

22. 5π/6

23. Calculate the following with a calculator

24. -0.0524

25. Graph

27. Solve 6 sin (5x) + 3 = 4 Find the general solution in radians

28. 0.0335 + 2πn/5 0.5948 + 2πn/5

29. Find an equation for the following situation. In one city in the southern hemisphere, the lowest average temperature is in April when it is 42 o. The highest average temperature occurs in October and is 82 o. Find an equation for a cosine wave that matches the situation.

30. y = 20 cos (π/6(x - 10))+62

31. Between what two times is the average temperature first above 78 o ?

32. 8.771 and 11.229 months

33. Simplify the following (cot x)(sec x)(sin x) - (sin x)(tan x)(cos x)

34. cos 2 x

37. Calculate cos(465 O ) without a calculator

38. Calculate sin(-5π/12) without a calculator

39. Given that sin x = 5/8 and that π/2 < x < π find the following ratios without a calculator cos x sin -x cos 2x

40. √39/8 -5/8 11/64