Download Chapter 6 Practice Test

Trigonometry Chapter 6 Practice Test
Name__________________________
Directions: Find the exact degree measure of x. Do not use a calculator.
_______ 1. y = arccos(- 3 /2)
_______ 2. y = arcsin(- 3 /2)
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
_______ 3. y = arccos(1)
Double Angle Identities
_______ 4. y = arctan(-1)
1
_______ 5. y = sec (1)
_______ 6. y = arccsc(- 2 )
Directions: Find the exact real number value of each.
5

_______ 7. cot  sec1 
3



2 
_______ 8. cos  sin 1  
 

2



1
_______ 9. cot( cos 1  
2
_______ 10. tan( sec1 (-3))

 1 
_______ 11. cot  arccos  

5 



 3
 4 
_______ 12. cos  sin 1    cos 1   
5
 5 

cos  2 x   cos 2 x  sin 2 x cos  2x   2cos 2 x  1 cos  2 x   1  sin 2 x
Directions: Evaluate to 2 decimal places using a calculator.
_______ 13. sec(sin
1
(-.8377))
_______14. arccot(.7)
_______15. arccot(-.7)
_______16. arccsc(-.2)
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.
17. cos x 
1
2
 0, 2  (NO CALCULATOR)
18. sin x = -.9721 (0,360)
19. cos x = -1
(0, 360) (NO CALCULATOR)
20. 2sin 3 x  3  0
 0, 2 
21. 2sin 2 x  5cos x  1  0
22. cos 2 x  4cos x  2  0
(NO CALCULATOR)
0,2 
 0,2 
23. 2sin 2 x  2sin x  7  0
24. 4 y  2sin x
Solve for x in terms of y.
25. cos 1 x  sin 1
26.
4 1 x
tan
π
3
2
0,2 
2
7
(NO CALCULATOR)
(NO CALCULATOR)