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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. |
Change  radians to degree measure. |
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A. |
-145° |
B. |
-135° |
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C. |
135° |
D. |
145° |
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Hint |
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3. |
Determine the angular velocity if 4.5 revolutions are completed in 7 seconds. Round to the nearest tenth. |
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A. |
4.0 radians/s |
B. |
5.01 radians/s |
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C. |
2.0 radians/s |
D. |
11.1 radians/s |
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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 19.5 mph |
B. |
about 13.7 mph |
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C. |
about 16.1 mph |
D. |
about 18.4 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; 4 |
B. |
yes; 1 |
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C. |
yes; 2 |
D. |
no |
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Hint |
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6. |
Find sin 5 by referring to the graph of the sine function. |
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A. |
0 |
B. |
1 |
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C. |
 |
D. |
-1 |
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Hint |
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7. |
State the period for the function  . |
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A. |
16 |
B. |
2 |
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C. |
8 |
D. |
4 |
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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 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 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. |
Write the equation for the inverse of y = Arctan 4x. |
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A. |
y =  Tan x |
B. |
y = 4 Tan x |
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C. |
y = Tan x |
D. |
y = 2 Tan x |
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Hint |
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14. |
Find Cos-1  . |
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A. |
0 |
B. |
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C. |
-1 |
D. |
1 |
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Hint |
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15. |
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 0.19 L |
B. |
about 0.23 L |
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C. |
about 0.15 L |
D. |
about 0.17 L |
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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 above equilibrium |
B. |
3 units below equilibrium |
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C. |
6 units above equilibrium |
D. |
6 units below equilibrium |
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Hint |
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