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1. |
Which is the graph of y = cos 3 ? |
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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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2. |
Write the equation of the sine function if the amplitude is 5 and the period is 360°. |
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A. |
y = - sin 5 |
B. |
y = 5 sin |
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C. |
y = sin 5 |
D. |
y = -5 sin 5 |
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Hint |
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3. |
Simplify the expression sin x(1 + cot2x) |
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A. |
sin x tan x |
B. |
csc x |
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C. |
1 + cos2x |
D. |
sin2x |
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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. |
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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6. |
How is the function y = 3 sin ( +30) shifted? |
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A. |
shifted 30° to the right |
B. |
shifted down 30° |
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C. |
shifted up 30° |
D. |
shifted 30° to the left |
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Hint |
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7. |
For the function y = cos ( – 50) + 3, what does the number 3 represent? |
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A. |
amplitude |
B. |
vertical shift |
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C. |
period |
D. |
horizontal shift |
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Hint |
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8. |
Suppose tan = . Which of the following quadrants could contain ? |
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A. |
second only |
B. |
first only |
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C. |
first and third |
D. |
first and second |
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Hint |
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9. |
Which of the following is not equivalent to the other three? |
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A. |
 |
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B. |
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C. |
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D. |
2 cot x sec x |
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Hint |
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10. |
Which of the following statements is false? |
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A. |
sin ( + 360°) = sin  |
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B. |
cos ( + 720°) = –cos  |
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C. |
cos ( – 180°) = –cos  |
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D. |
sin ( + 540°) = –sin  |
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Hint |
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11. |
Which expression is equivalent to sin ? |
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A. |
cos (90° + ) |
B. |
cos ( + 180°) |
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C. |
–sin (180° – ) |
D. |
cos (270° + ) |
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Hint |
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12. |
Find cos if sin x = and x is in the second quadrant. |
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A. |
 |
B. |
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C. |
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D. |
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Hint |
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13. |
Given that cos = and 0° < < 90°, find cos 2 . |
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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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14. |
Solve . |
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A. |
0°, 90°, 180°, 270° |
B. |
90°, 270° |
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C. |
0°, 180° |
D. |
0°, 90°, 270° |
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Hint |
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