

1. 
Change 120° to radian measure in terms of . 


A. 

B. 
 


C. 

D. 
 


Hint 


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. 


A. 
3.6 radians 
B. 
14.6 radians 


C. 
7.3 radians 
D. 
1.8 radians 


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. 
33.4 cm/s 
B. 
52.5 cm/s 


C. 
518.4 cm/s 
D. 
165 cm/s 


Hint 


4. 
A clothes dryer is rotating at 450 revolutions per minute. Determine its angular velocity in radians per second. Round to the nearest tenth. 


A. 
47.1 radians/s 
B. 
2,827.4 radians/s 


C. 
23.6 radians/s 
D. 
282.7 radians/s 


Hint 


5. 
Determine if the function is periodic. If so, state the period. 





A. 
no 
B. 
yes; 4 


C. 
yes; 2 
D. 
yes; 1 


Hint 


6. 
Which is not a true statement about the properties of the graph of y = cos x? 


A. 
The xintercepts are located at , where n is an integer. 


B. 
The maximum values are y = 1 and occur when , where n is an integer. 


C. 
The yintercept is 1. 


D. 
The period is 2. 


Hint 


7. 
State the amplitude and period for the function y = 3 sin 3. 


A. 
3; 
B. 
3; 


C. 
3; 
D. 
3; 


Hint 


8. 
Graph y = 5 cos 2 for 1 period of the function. 


A. 



B. 



C. 



D. 



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. 
Find the period of the function y = csc  5. 


A. 
8 
B. 
4 


C. 

D. 



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. 
Find Cos^{1} . 


A. 

B. 
1 


C. 
1 
D. 
0 


Hint 


14. 
Find cos (Tan^{1}1  Sin^{1}1). 


A. 
 
B. 



C. 
 
D. 



Hint 


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. 


A. 

B. 



C. 

D. 



Hint 


16. 
Suppose the equation models the number of liters of air in the lungs of a gorilla at t seconds. Use a graphing calculator to graph the function with Xmin = 0 and Xmax = 10. 


A. 

B. 



C. 

D. 



Hint 

