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1. |
Simplify sin . |
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A. |
sin x + cos2x |
B. |
tan x |
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C. |
2 sin x |
D. |
2 cos x |
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Hint |
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2. |
is equivalent to _____. |
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A. |
tan2x - 1 |
B. |
cot2x |
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C. |
sin2x + cos x |
D. |
2 tan x |
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Hint |
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3. |
Which expression is equivalent to csc x – sin x? |
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A. |
sin x + cos x |
B. |
cos2x + sin2x |
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C. |
 |
D. |
sin x – cos x |
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Hint |
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4. |
How many periods will the function y = 2sin contain in 9 radians? |
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A. |
 |
B. |
3 |
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C. |
27 |
D. |
 |
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Hint |
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5. |
Which function will have the most periods in 2 radians? |
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A. |
y = 4sin(4 ) |
B. |
y = 2sin |
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C. |
y = 3sin (5 ) |
D. |
y = 5sin  |
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Hint |
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6. |
How is the function y = 3 cos ( +20) – 4 shifted? |
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A. |
shifted 4 units up and 20° to the right |
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B. |
shifted 4 units up and 20° to the left |
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C. |
shifted 4 units down and 20° to the left |
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D. |
shifted 4 units down and 20° to the right |
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Hint |
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7. |
Which of the following is an example of a function with a phase shift? |
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A. |
y = 5 sin  |
B. |
y = 1 + 3 cos  |
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C. |
y = 2 sin ( – 15) |
D. |
y = 3 + cos  |
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Hint |
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8. |
Find tan if cos = and 0° < < 90° |
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A. |
 |
B. |
8 |
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C. |
 |
D. |
 |
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Hint |
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9. |
Find the exact value of sin (–75°). |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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10. |
Find the exact value of cos (480°). |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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11. |
Suppose sin = and sin 2 = . In which quadrant(s) could this be? |
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A. |
first and second |
B. |
first or fourth |
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C. |
second only |
D. |
first only |
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Hint |
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12. |
Given that cos = and 0° < < 90°, find cos 2 . |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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13. |
Solve 2 cos 2 = 1. |
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A. |
30°, 150° |
B. |
150°, 210° |
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C. |
30°, 150°, 210°, 330° |
D. |
30°, 330° |
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Hint |
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14. |
Solve 5 cos 2 + 4 cos – 12 = 0. |
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A. |
34°, 326° |
B. |
no solution |
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C. |
34°, 146°, 214°, 326° |
D. |
146°, 214° |
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Hint |
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