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1. |
Write an equation for the graph. |
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A. |
y = 2 cos |
B. |
y = cos 2 |
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C. |
y = cos |
D. |
y = -2 cos |
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Hint |
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2. |
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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3. |
Simplify cos B + tan B sin B |
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A. |
cos B |
B. |
cot B |
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C. |
sec B |
D. |
sin B |
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Hint |
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4. |
is equivalent to _____. |
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A. |
tan2x - 1 |
B. |
sin2x + cos x |
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C. |
cot2x |
D. |
2 tan x |
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Hint |
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5. |
Which expression is equivalent to (sin x + cos x)2. |
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A. |
2 csc 2x |
B. |
cos2x + 1 |
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C. |
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D. |
1 + sin 2x |
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Hint |
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6. |
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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7. |
What is the amplitude and period of the function y = 3 cos (- )? |
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A. |
Amplitude = 3, Period = – |
B. |
Amplitude = 2, Period =  |
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C. |
Amplitude = 3, Period =  |
D. |
Amplitude = 3, Period = 2 |
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Hint |
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8. |
How is the function y = sin + 2 shifted? |
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A. |
shifted 2 units to the right |
B. |
shifted 2 units up |
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C. |
shifted 2 units down |
D. |
shifted 2 units to the left |
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Hint |
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9. |
Which of the following is an example of a function with a phase shift? |
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A. |
y = 5 sin  |
B. |
y = 3 + cos  |
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C. |
y = 2 sin ( – 15) |
D. |
y = 1 + 3 cos  |
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Hint |
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10. |
Which expression is equivalent to 2 tan ? |
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A. |
 |
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B. |
 |
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C. |
 |
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D. |
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Hint |
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11. |
Which statement is true? |
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A. |
cos 135° = sin 45° |
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B. |
sin 30° = cos 300° |
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C. |
cos 225° = sin 45° |
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D. |
sin 45° = –cos (–45°) |
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Hint |
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12. |
Which statement is false? |
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A. |
cos 405° = –sin 225° |
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B. |
sin 30° = –cos 120° |
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C. |
sin 450° = cos 180° |
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D. |
cos 210° = sin 240° |
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Hint |
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13. |
Suppose sin = and sin 2 = . In which quadrant(s) could this be? |
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A. |
first and second |
B. |
first only |
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C. |
second only |
D. |
first or fourth |
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Hint |
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14. |
Solve cos = 3 cos – 1. |
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A. |
60°, 300° |
B. |
30°, 330° |
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C. |
60°, 120° |
D. |
30°, 150° |
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Hint |
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