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1. |
State the amplitude and the period for y = 2 cos . |
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A. |
amplitude = 2 , period =  |
B. |
amplitude = -2, period = 180° |
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C. |
amplitude = 2, period = 4 |
D. |
amplitude = -2, period = 4 |
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Hint |
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2. |
Graph y = . |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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3. |
Simplify the expression sin x(1 + cot2x) |
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A. |
sin2x |
B. |
1 + cos2x |
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C. |
csc x |
D. |
sin x tan x |
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Hint |
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4. |
Rewrite (sin2 x + cos2 x) ÷ tan x as an expression involving only cot x. |
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A. |
1 – cot x |
B. |
2 cot x |
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C. |
cot2x |
D. |
cot x |
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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. |
 |
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C. |
sin x – cos x |
D. |
cos2x + sin2x |
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Hint |
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6. |
Find the exact value of sin 225°. |
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A. |
 |
B. |
0 |
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C. |
 |
D. |
 |
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Hint |
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7. |
What is the exact value of cos (-60°)? |
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A. |
 |
B. |
0 |
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C. |
 |
D. |
-1 |
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Hint |
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8. |
What is the exact value of cos 2x if cos x = and x is in quadrant II? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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9. |
2 cot x sin2x is equivalent to ________. |
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A. |
cos2x + sin x |
B. |
1 + sin2x |
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C. |
cos  |
D. |
sin 2x |
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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 left |
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B. |
shifted 4 units up and 20° to the right |
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C. |
shifted 4 units down and 20° to the right |
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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 = 3 + sin [4( –45)] |
B. |
y = 5 + sin [2( –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. |
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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13. |
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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14. |
Solve . |
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A. |
0°, 90°, 180°, 270° |
B. |
0°, 90°, 270° |
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C. |
0°, 180° |
D. |
90°, 270° |
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Hint |
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