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1. |
Evaluate tan  . |
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A. |
- |
B. |
 |
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C. |
- |
D. |
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Hint |
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2. |
Given a central angle of 105°, find the length of its intercepted arc in a circle of radius 6 centimeters. Round to the nearest tenth. |
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A. |
5.2 cm |
B. |
22.0 cm |
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C. |
11.0 cm |
D. |
10.4 cm |
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Hint |
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3. |
Determine the angular displacement in radians of 11.3 revolutions. Round to the nearest tenth. |
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A. |
71.0 radians |
B. |
3.6 radians |
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C. |
1.8 radians |
D. |
35.5 radians |
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Hint |
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4. |
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. |
249.9 mph |
B. |
187.4 mph |
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C. |
124.9 mph |
D. |
62.5 mph |
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Hint |
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5. |
Which is not a true statement about the properties of the graph of
y = sin x? |
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A. |
The period is  . |
B. |
The domain is the set of real numbers |
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C. |
The y-intercept is 0. |
D. |
The range is the set of real numbers between -1 and 1, inclusive. |
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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 period is 2. |
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B. |
The y-intercept is 1. |
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C. |
The x-intercepts are located at  , where n is an integer. |
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D. |
The maximum values are y = 1 and occur when  , where n is an integer. |
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Hint |
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7. |
State the amplitude for the function y = - cos . |
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A. |
1 |
B. |
- |
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C. |
- |
D. |
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Hint |
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8. |
State the period for the function  . |
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A. |
4 |
B. |
8 |
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C. |
2 |
D. |
16 |
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Hint |
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9. |
State the amplitude, period, phase shift, and vertical shift for
y = 3 cos  - 4. |
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A. |
4; 8; 2; 3 |
B. |
4; 8; -2; -3 |
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C. |
3; 8; -2; 4 |
D. |
3; 8; -2; -4 |
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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 value of csc  by referring to the graph of the cosecant function. |
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A. |
0 |
B. |
-1 |
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C. |
undefined |
D. |
1 |
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Hint |
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12. |
Write an equation for a tangent function with period , phase shift - , and vertical shift 3. |
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A. |
y = tan  + 3 |
B. |
y = tan  + 3 |
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C. |
y = tan  + 3 |
D. |
y = tan  + 3 |
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Hint |
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13. |
Find Cos-1  . |
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A. |
-1 |
B. |
0 |
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C. |
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D. |
1 |
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Hint |
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14. |
Find cos (Tan-11 - Sin-11). |
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A. |
- |
B. |
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C. |
 |
D. |
- |
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Hint |
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15. |
A twig bobs up and down in the water. It moves from its highest point down to its lowest point and back every 12 seconds. The distance between its highest and lowest points is 3.2 centimeters. Write a sine function that models the movement of the twig in relation to the equilibrium point. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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16. |
Suppose the equation  models the number of liters of air in the lungs of a gorilla at t seconds. Find the amount of air in the lungs at t = 4.5 seconds. |
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A. |
about 0.17 L |
B. |
about 0.23 L |
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C. |
about 0.19 L |
D. |
about 0.15 L |
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Hint |
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