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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. |
1013.7 cm2 |
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C. |
231.1 cm2 |
D. |
253.4 cm2 |
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Hint |
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2. |
The diameter of a circle is 18 inches. If a central angle measures 64°, find the length of the intercepted arc. |
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A. |
about 14.6 in. |
B. |
about 20.1 in. |
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C. |
about 18.2 in. |
D. |
about 10.1 in. |
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Hint |
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3. |
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 16.1 mph |
B. |
about 19.5 mph |
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C. |
about 18.4 mph |
D. |
about 13.7 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. |
22.3 in./s |
B. |
4.0 in./s |
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C. |
33.5 in./s |
D. |
16.8 in./s |
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Hint |
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5. |
Find sin 5 by referring to the graph of the sine function. |
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A. |
-1 |
B. |
 |
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C. |
1 |
D. |
0 |
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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 maximum values are y = 1 and occur when , where n is an integer. |
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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 period is 2 . |
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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 3 |
B. |
y = ±3 cos   |
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C. |
y = ±3 cos   |
D. |
y = ±3 cos   |
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Hint |
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9. |
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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10. |
Which is not a property of the graph of y = tan x? |
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A. |
The range is the set of real numbers. |
B. |
The x-intercepts are located at n, where n is an integer. |
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C. |
The y-intercept is 0. |
D. |
The period is 2 . |
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Hint |
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11. |
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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12. |
Find Arcsin . |
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A. |
- |
B. |
 |
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C. |
 |
D. |
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Hint |
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13. |
Find sin . |
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A. |
- |
B. |
1 |
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C. |
-1 |
D. |
 |
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Hint |
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14. |
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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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 = 7. |
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A. |
6 units below equilibrium |
B. |
3 units below equilibrium |
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C. |
3 units above equilibrium |
D. |
6 units above equilibrium |
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Hint |
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16. |
State the vertical shift and the equation of the midline for the function y = 3 cos + 4. |
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A. |
-4; y = -4 |
B. |
-3; y = -3 |
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C. |
4; y = 4 |
D. |
3; y = 3 |
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Hint |
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