Multiple Choice
____
1. Find the identical expression for the following: sin x (sec x - cot x)
a.
b.
c.
d.
e.
____
tan x
csc x
cos x
tan x - cos x
cot x - sin x
2. Find the identical expression for the following.
a.
b.
c.
d.
e.
____
3. Find the identical expression for the following.
a.
b.
c.
d.
e.
____
4. Find the identical expression for the following.
a.
b.
c.
d.
e.
____
5. Find the identical expression for the following.
a.
b.
c.
d.
e.
____
6. Use your graphing calculator to determine if the equation appears to be an identity or not by graphing the left
expression and right expression together.
csc x - cos x = cot x cos x
a. not an identity
b. is an identity
____
7. Find the identical expression for the following.
a.
b.
c.
d. 1
e.
____
8. Find the identical expression for the following.
a.
b.
c. -1
d.
e.
____
9. Use your graphing calculator to determine if the equation appears to be an identity or not by graphing the left
expression and right expression together.
a. is an identity
b. not an identity
____ 10. Graph one complete cycle of
by first rewriting the right side in the form
a.
d.
b.
e.
c.
____ 11. Find the identical expression for the following.
.
a.
b.
c.
d.
e.
cos x
- sin x
sin x
- cos x
tan x
____ 12. If
a.
b.
c.
d.
e.
and
, find
.
tan A = 4
tan A = 8
tan A = 5
tan A = 7
tan A = 11
____ 13. Find the identical expression for the following.
a.
b.
c.
d.
e.
0
2 sin x
-2 sin x
-2 cos x
2 cos x
____ 14. Find the identical expression for the following.
cos (A + B) + cos (A - B)
a.
b.
c.
d.
e.
2 sin A cos B
2 cos A cos B
2 cos A sin B
2 sin A sin B
- 2 cos A cos B
____ 15. Write the expression as a single trigonometric function.
sin 9x cos 3x - cos 9x sin 3x
a.
b.
c.
d.
e.
sin 6x
sin 4x
sin 5x
sin 2x
sin 3x
____ 16. Find the identical expression for the following.
a.
b.
c.
d.
e.
tan x
- sin x
- cos x
cos x
sin x
____ 17. Find exact value for the following:
a.
b.
c.
d.
e.
____ 18. If
a.
b.
c.
d.
e.
with A in QI, find cos 2A.
____ 19. From the list below find the expression equivalent to sin 6t.
a.
b.
c.
d.
e.
____ 20. If
with B in QII, find
a.
b.
c.
d.
e.
____ 21. Find the expression identical to the one given.
a.
b.
c.
d.
e.
.
____ 22. Rewrite the expression as a product. Simplify if possible.
a.
b.
c.
d.
e.
____ 23. Evaluate the expression without using a calculator.
a.
b.
c.
d.
e.
____ 24. From the list below find the expression, identical to the given.
a.
b.
c.
d.
e.
____ 25. From the list below find the expression, identical to the given.
a.
b.
c.
d.
e.
Multiple Choice
by first rewriting the right side in the form
____ 26. Graph one complete cycle of
a.
d.
b.
e.
.
c.
____ 27. Find the identical expression for the following.
a.
b.
c.
d.
e.
____ 28. If
a.
b.
c.
d.
e.
0
- cos x
sin x
- sin x
cos x
with A in QIV, find cot 2A.
____ 29. Graph the function from x = 0 and x = 2π.
a.
d.
b.
e.
c.
____ 30. From the list below find the expression equivalent to sin 9t.
a.
b.
c.
d.
e.
____ 31. Use your graphing calculator to determine if the equation appears to be an identity by graphing the left expression
and right expression together.
a. This is not an identity
b. This is an identity
____ 32. If
a.
b.
c.
d.
e.
with
in
, and
with
in
, find
.
____ 33. If
with A in QII, and
a.
b.
c.
d.
e.
____ 34. Find the expression identical to the one given.
a.
b.
c.
d.
e.
____ 35. Find the expression identical to the one given.
a.
b.
c.
d.
e.
with B in QIV, find cos(A - B).
____ 36. Find the expression identical to the one given.
a.
b.
c.
d.
e.
____ 37. Rewrite the expression as a product. Simplify if possible.
a.
b.
c.
d.
e.
____ 38. Rewrite the expression as a sum or difference, then simplify if possible.
a.
b.
c.
d.
e.
____ 39. Evaluate the expression without using a calculator.
a.
b.
c.
d.
e.
____ 40. Evaluate the expression without using a calculator. (Assume the variable represents a positive number.)
a.
b.
c.
d.
e.
____ 41. From the list below find the expression, identical to the given.
a.
b.
c.
d.
e.
Numeric Response
and
42. If
, find
.
__________
Short Answer
43. Find the exact value for the following.
44. Write a formula for cos 2x by writing cos 2x as cos (x + x) and using the formula for the cosine of a sum.
45. If
46. If
47. If
48. If
, find tan 2A.
with A in QIV, find
.
with B in QIV, find
with in
, find
.
.
49. Use half-angle formulas to find the exact value for the following:
cos 165°
50. Evaluate the expression without using a calculator. (Assume the variable represents a positive number.)