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1. |
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. |
253.4 cm2 |
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C. |
1013.7 cm2 |
D. |
231.1 cm2 |
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Hint |
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2. |
A sector has an area of 14.5 square meters. The radius of the circle is 4 meters. Find the radian measure of the central angle to the nearest tenth. |
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A. |
3.6 radians |
B. |
1.8 radians |
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C. |
14.6 radians |
D. |
7.3 radians |
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Hint |
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3. |
A clothes dryer is rotating at 450 revolutions per minute. Determine its angular velocity in radians per second. Round to the nearest tenth. |
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A. |
2,827.4 radians/s |
B. |
23.6 radians/s |
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C. |
47.1 radians/s |
D. |
282.7 radians/s |
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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. |
4.0 in./s |
B. |
33.5 in./s |
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C. |
16.8 in./s |
D. |
22.3 in./s |
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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 y-intercept is 1. |
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B. |
The period is 2. |
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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 x-intercepts are located at  , where n is an integer. |
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Hint |
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7. |
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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8. |
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 3 |
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C. |
y = ±3 cos  |
D. |
y = ±3 cos  |
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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. |
3; 8; -2; -4 |
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C. |
3; 8; -2; 4 |
D. |
4; 8; -2; -3 |
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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. |
1 |
B. |
-1 |
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C. |
0 |
D. |
undefined |
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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 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. |
 |
B. |
0 |
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C. |
-1 |
D. |
1 |
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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 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. |
equilibrium |
B. |
0.5 unit 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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