TRIGONOMETRY
Chapter 6 Test Prep Day #1
Review
NAME: _____________________________________________________ Date: _____________
Trigonometry Chapter 6 Practice Test: If you were asked to take the Chapter 6 test now…what would
you know, what would you not know? The following are TYPES of questions that COULD be asked on the
Chapter 6 Test…are you going to be prepared?
Directions: Find the exact radian measure of x. Do not use a calculator.

_______ 1. y = arccos(- 3 /2)






_______ 2. y = arcsin(- 3 /2)




_______ 3. y = arccos(1)

_______ 4. y = arctan(-1)






1
_______ 5. y = sec (1)


_______ 6. y = arccsc(- 2 )




Directions: Find the exact real number value of each. Do not use a calculator.


_________ 7. cot  sec

1
1

_________ 8. cos  sin  

 1 

 2 
_________ 10. tan( sec (-3))
_________ 9. cot  cos 


5

3
1


1
2 

2  


TRIGONOMETRY
Chapter 6 Test Prep Day #1




_______ 11. sin  2arccos  
1 

5 
Review
Sum & Difference Identities
cos  A  B   cos A cos B – sin A sin B
cos  A – B   cos A cos B  sin A sin B
Double Angle Identities
cos  2 x   cos 2 x  sin 2 x cos  2x   2cos 2 x  1  1  3 
1  4  
_______ 12. cos  sin    cos   
5
 5 

cos  2 x  1  sin 2 x
Directions: Find all of the solutions over the indicated intervals. Find the exact solutions if possible. If not,
then round your answer to two decimal places.
13.
2 cos 2 x  1  0, 2 
13. ____________________
TRIGONOMETRY
14. 2sin 3 x  3  0
Chapter 6 Test Prep Day #1
 0, 2 
14. ____________________
15. cos 2 x  4cos x  2  0
[0,3600 )
15. ____________________
2
16. 2sin x  3sin x  2  0
 0,2 
16. ____________________
Review
TRIGONOMETRY
17. 4 y  2sin x
Chapter 6 Test Prep Day #1
Solve for x in terms of y. (NO CALCULATOR)
17. ____________________
1
_____________ 18. cos x  sin
__________ 19. tan 1 0  cos 1
__________20.
1
2
7
1
 sin 1 x
2
4 1 x
tan
π
3
2
Review