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1. |
State the amplitude and the period for y = 2 cos . |
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A. |
amplitude = -2, period = 180° |
B. |
amplitude = 2, period = 4 |
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C. |
amplitude = 2 , period =  |
D. |
amplitude = -2, period = 4 |
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Hint |
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2. |
Select the graph of . |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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3. |
Simplify sin . |
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A. |
sin x + cos2x |
B. |
2 cos x |
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C. |
tan x |
D. |
2 sin x |
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Hint |
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4. |
Simplify sec cos . |
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A. |
tan2 - 1 |
B. |
sin2  |
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C. |
cos2  |
D. |
1 |
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Hint |
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5. |
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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6. |
Find the exact value of sin 225°. |
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A. |
 |
B. |
 |
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C. |
0 |
D. |
 |
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Hint |
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7. |
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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8. |
Which expression is equivalent to (sin x + cos x)2. |
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A. |
cos2x + 1 |
B. |
 |
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C. |
1 + sin 2x |
D. |
2 csc 2x |
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Hint |
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9. |
Find all solutions of sin 2x = cos x if . |
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A. |
, |
B. |
, |
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C. |
, |
D. |
, |
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Hint |
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10. |
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 down and 20° to the right |
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C. |
shifted 4 units up and 20° to the left |
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D. |
shifted 4 units down and 20° to the left |
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Hint |
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11. |
Suppose that we want to shift the function y = 3 + sin [2( –45)] up 2 units. What would its equation be? |
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A. |
y = 5 + sin [2( –45)] |
B. |
y = 3 + sin [4( –45)] |
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C. |
y = 1 + sin [2( –45)] |
D. |
y = 5 + sin [4( –45)] |
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Hint |
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12. |
Simplify . |
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A. |
sec  |
B. |
csc 2  |
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C. |
csc  |
D. |
sec 2  |
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Hint |
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13. |
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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14. |
Solve cos = 3 cos – 1. |
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A. |
60°, 120° |
B. |
60°, 300° |
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C. |
30°, 330° |
D. |
30°, 150° |
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Hint |
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