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1. |
Change -120° to radian measure in terms of  . |
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A. |
- |
B. |
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C. |
- |
D. |
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Hint |
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2. |
Evaluate tan  . |
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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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3. |
The tires on a race car have a diameter of 28 inches. If the tires are turning at the rate of 1500 revolutions per minute, determine the race car's speed in miles per hour to the nearest tenth. |
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A. |
124.9 mph |
B. |
187.4 mph |
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C. |
249.9 mph |
D. |
62.5 mph |
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Hint |
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4. |
If a pulley is turned 240° per second and its radius is 4 inches, find its linear velocity in inches per second. Round to the nearest tenth. |
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A. |
33.5 in./s |
B. |
4.0 in./s |
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C. |
22.3 in./s |
D. |
16.8 in./s |
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Hint |
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5. |
Determine if the function is periodic. If so, state the period. |
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A. |
yes; 1 |
B. |
yes; 2 |
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C. |
yes; 4 |
D. |
no |
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Hint |
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6. |
Which is not a true statement about the properties of the graph of
y = cos x? |
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A. |
The x-intercepts are located at  , where n is an integer. |
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B. |
The y-intercept is 1. |
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C. |
The maximum values are y = 1 and occur when  , where n is an integer. |
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D. |
The period is 2. |
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Hint |
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7. |
Write an equation of the cosine function with amplitude 3 and period 9. |
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A. |
y = ±3 cos   |
B. |
y = ±3 cos  |
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C. |
y = ±3 cos 3 |
D. |
y = ±3 cos  |
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Hint |
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8. |
Graph y = 5 cos 2 for 1 period of the function. |
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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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9. |
State the phase shift for y = 2.5 sin  . |
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A. |
 |
B. |
2 |
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C. |
- |
D. |
-2 |
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Hint |
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10. |
Write an equation of a cosine function with amplitude 3, period  , phase shift , and vertical shift 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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11. |
Find the period of the function y = csc  - 5. |
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A. |
4 |
B. |
 |
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C. |
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D. |
8 |
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Hint |
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12. |
Write an equation for a secant function with period 2, phase shift , and vertical shift 1. |
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A. |
y = sec  - 1 |
B. |
y = sec + 1 |
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C. |
y = sec  + 1 |
D. |
y = sec - 1 |
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Hint |
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13. |
Find Cos-1  . |
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A. |
1 |
B. |
-1 |
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C. |
0 |
D. |
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Hint |
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14. |
Find sin  . |
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A. |
- |
B. |
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C. |
-1 |
D. |
1 |
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Hint |
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15. |
Suppose the equation  models a buoy bobbing up and down in the water. The equilibrium point is y = 0. Describe the location of the buoy when t = 0. |
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A. |
6 units above equilibrium |
B. |
6 units below equilibrium |
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C. |
0.5 unit above equilibrium |
D. |
equilibrium |
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Hint |
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16. |
Suppose the equation models a buoy bobbing up and down in the water. The equilibrium point is y = 0. Describe the location of the buoy when t = 7. |
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A. |
3 units below equilibrium |
B. |
3 units above equilibrium |
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C. |
6 units below equilibrium |
D. |
6 units above equilibrium |
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Hint |
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