

1. 
Simplify cos x tan x. 


A. 
1 
B. 
csc x 


C. 
sin x 
D. 
cos x 


Hint 


2. 
Simplify cos x + cos x tan^{2} x. 


A. 
tan x 
B. 
csc x 


C. 
1 + tan x 
D. 
sec x 


Hint 


3. 
If x and y are acute angles such that sin x = and sin y = , what is the value of cos (x  y)? 


A. 

B. 



C. 

D. 



Hint 


4. 
Complete the identity = ________. 


A. 
tan x 
B. 
cos x 


C. 
cot x 
D. 
sin x 


Hint 


5. 
Consider the equation x + 2y  5 = 0. Find the length of the normal and the angle it makes with the positive xaxis. 


A. 
; 297° 
B. 
; 117° 


C. 
; 63° 
D. 
; 243° 


Hint 


6. 
Complete the identity ______________. 


A. 
sin A 
B. 
cos A 


C. 
cos A 
D. 
sin A 


Hint 


7. 
What is the distance between the lines with equations x + y  5 = 0 and y = x + 10? 


A. 

B. 



C. 

D. 



Hint 


8. 
Complete the identity = _______. 


A. 
sec x 
B. 
cos x 


C. 
tan x 
D. 
sin x 


Hint 


9. 
Complete the identity sin^{4} x  cos^{4} x = __________. 


A. 
sin^{2} x  cos^{2} x 
B. 
tan^{4} x 


C. 
1 
D. 
0 


Hint 


10. 
If cos = and has its terminal side in the first quadrant, find the exact value of cos . 


A. 

B. 
 


C. 
 
D. 



Hint 


11. 
Solve sec^{2} x =  2 for 90° < x < 90°. 


A. 
30°, 30° 
B. 
0° 


C. 
60° 
D. 
60°, 60° 


Hint 


12. 
Solve for 0 x < 2. 


A. 

B. 



C. 

D. 



Hint 


13. 
For the line given by the equation 5x  7y + 24, what is the length of the normal through the origin? 


A. 
2 
B. 
24 


C. 

D. 



Hint 


14. 
Find the distance between the lines given by the equations y = x  and 2x  5y = 28. 


A. 

B. 



C. 

D. 



Hint 

