| |
| |
1. |
Change -120° to radian measure in terms of  . |
| |
|
A. |
 |
B. |
- |
| |
|
C. |
 |
D. |
- |
| |
|
Hint |
|
| |
2. |
The diameter of a circle is 18 inches. If a central angle measures 64°, find the length of the intercepted arc. |
| |
|
A. |
about 10.1 in. |
B. |
about 18.2 in. |
| |
|
C. |
about 20.1 in. |
D. |
about 14.6 in. |
| |
|
Hint |
|
| |
3. |
Determine the linear velocity of a point rotating at an angular velocity of  radians per second at a distance of 11 centimeters from the center of the rotating object. Round to the nearest tenth. |
| |
|
A. |
518.4 cm/s |
B. |
52.5 cm/s |
| |
|
C. |
165 cm/s |
D. |
33.4 cm/s |
| |
|
Hint |
|
| |
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? |
| |
|
A. |
about 18.4 mph |
B. |
about 16.1 mph |
| |
|
C. |
about 13.7 mph |
D. |
about 19.5 mph |
| |
|
Hint |
|
| |
5. |
Determine if the function is periodic. If so, state the period. |
| |
|
 |
| |
|
A. |
yes; 4 |
B. |
yes; 2 |
| |
|
C. |
yes; 1 |
D. |
no |
| |
|
Hint |
|
| |
6. |
Which is not a true statement about the properties of the graph of
y = cos x? |
| |
|
A. |
The x-intercepts are located at  , where n is an integer. |
| |
|
B. |
The y-intercept is 1. |
| |
|
C. |
The maximum values are y = 1 and occur when  , where n is an integer. |
| |
|
D. |
The period is 2. |
| |
|
Hint |
|
| |
7. |
State the amplitude for the function y = - cos . |
| |
|
A. |
|
B. |
- |
| |
|
C. |
- |
D. |
1 |
| |
|
Hint |
|
| |
8. |
Write an equation of the cosine function with amplitude 3 and period 9. |
| |
|
A. |
y = ±3 cos 3 |
B. |
y = ±3 cos  |
| |
|
C. |
y = ±3 cos  |
D. |
y = ±3 cos  |
| |
|
Hint |
|
| |
9. |
State the amplitude, period, phase shift, and vertical shift for
 |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
10. |
Write an equation of a cosine function with amplitude 3, period  , phase shift  , and vertical shift 2. |
| |
|
A. |
 |
| |
|
B. |
 |
| |
|
C. |
 |
| |
|
D. |
 |
| |
|
Hint |
|
| |
11. |
Write an equation for a secant function with period 2, phase shift , and vertical shift 1. |
| |
|
A. |
y = sec  - 1 |
B. |
y = sec  - 1 |
| |
|
C. |
y = sec + 1 |
D. |
y = sec + 1 |
| |
|
Hint |
|
| |
12. |
Write an equation for a tangent function with period , phase shift - , and vertical shift 3. |
| |
|
A. |
y = tan  + 3 |
B. |
y = tan  + 3 |
| |
|
C. |
y = tan  + 3 |
D. |
y = tan  + 3 |
| |
|
Hint |
|
| |
13. |
Write the equation for the inverse of y = Arctan 4x. |
| |
|
A. |
y = 4 Tan x |
B. |
y =  Tan x |
| |
|
C. |
y =  Tan x |
D. |
y = 2 Tan x |
| |
|
Hint |
|
| |
14. |
Find Cos-1  . |
| |
|
A. |
0 |
B. |
-1 |
| |
|
C. |
1 |
D. |
|
| |
|
Hint |
|
| |
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. |
| |
|
A. |
0.5 unit above equilibrium |
B. |
6 units below equilibrium |
| |
|
C. |
equilibrium |
D. |
6 units above equilibrium |
| |
|
Hint |
|
| |
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. |
| |
|
A. |
3 units below equilibrium |
B. |
6 units below equilibrium |
| |
|
C. |
6 units above equilibrium |
D. |
3 units above equilibrium |
| |
|
Hint |
|
|
|