PreCalculus
Chapter 6 Test
Name:
Directions for Part 2:
Place your answer on the line provided. You may use the space near each problem to do work or calculations.
Remember exact answers are most often not provided by a calculator! Show your work.
2
.
2
2.
Find the exact value of the expression cos 1
3.
Find the exact value of the expression cos 1 cos 
4.
Find the exact value of the expression tan cos 1
5.
Simplify the expression as far as possible:
6.
Find the exact value of sin 20 cos 40  cos 20 sin 40 .
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7.
Find the exact value of sin 255 .
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



__________________________
 3 
 .
 5 
2
.
2 
cos 
 tan  .
1  sin 
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Directions for Part 3: Show all work for all problems. Convince me through diagrams, explanations, and
calculations you understand the question, solution and answer! Work hard!
Verify the following identities:
8.
1
cos x

 tan x
sin x cos x sin x
9.
sec   tan  
1
sec   tan 
10.
Find the exact value of sin(    ) AND cos(   )
11.
if sin(  ) 
12.
1

1

,0   
,    0
and cos( ) 
3
2
2
2
3
3
 
 if cos    ,    
5
2
2
Find the exact value of sin( 2 ) AND cos
sec  sin 
1  0
tan 
Only algebraic solutions will be accepted for the following three problems.
13. Solve the equation 6sin(2   )  3  0 on the interval 0    2 .
14. Solve the equation sin    1  cos  2  on the interval 0    2 .
15. Solve the equation 3cot 2   4csc  1 on the interval 0    2 .