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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. |
Find the area of a sector if the central angle measures  radians and the radius of the circle is 22 centimeters. Round to the nearest tenth. |
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A. |
506.8 cm2 |
B. |
1013.7 cm2 |
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C. |
253.4 cm2 |
D. |
231.1 cm2 |
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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. |
62.5 mph |
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C. |
249.9 mph |
D. |
187.4 mph |
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Hint |
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4. |
A bicycle wheel is 30 inches in diameter. If the wheel turns at a constant rate of 3 revolutions per second, what is the linear speed in miles per hour of a point on the tire? |
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A. |
about 18.4 mph |
B. |
about 16.1 mph |
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C. |
about 13.7 mph |
D. |
about 19.5 mph |
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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; 2 |
B. |
yes; 1 |
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C. |
no |
D. |
yes; 4 |
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Hint |
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6. |
Which is not a true statement about the properties of the graph of
y = sin x? |
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A. |
The domain is the set of real numbers |
B. |
The y-intercept is 0. |
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C. |
The period is . |
D. |
The range is the set of real numbers between -1 and 1, inclusive. |
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Hint |
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7. |
State the period for the function  . |
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A. |
8 |
B. |
16 |
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C. |
4 |
D. |
2 |
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Hint |
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8. |
State the amplitude and period for the function y = -3 sin 3 . |
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A. |
-3; |
B. |
3; |
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C. |
-3; |
D. |
3; |
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Hint |
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9. |
State the amplitude, period, phase shift, and vertical shift for
 |
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A. |
 |
B. |
 |
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C. |
 |
D. |
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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. |
-1 |
D. |
undefined |
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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 Arcsin  . |
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A. |
 |
B. |
- |
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C. |
 |
D. |
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Hint |
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14. |
Find Cos-1  . |
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A. |
-1 |
B. |
0 |
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C. |
1 |
D. |
 |
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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. |
0.5 unit above equilibrium |
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C. |
6 units below 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. |
6 units below equilibrium |
B. |
3 units above equilibrium |
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C. |
3 units below equilibrium |
D. |
6 units above equilibrium |
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Hint |
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