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Name ____________________________________________
MTH 1000
TEST #5
1.
Find the exact value of the following:
 
sin 1 
2.
1
2
3
2
Find the exact value of the given trig function:
(Note: The angles are measured in radians.)




sin sin 1 109  
sin sec 1  2x  
3.
 
cos 1 
Prove the following trigonometric identity:
sin 
1  cos 

 2 csc 
1  cos 
sin 
cos 1 cos 98  
4.
Use an angle addition/subtraction formula to find the exact value of the following:
cos15 
Find the exact value of the following:


5.
sin tan 1  14   cos 1  23  
6.
sin 2 cos 1  54  
7.
cos 2 cos 1  15  
8.
Prove the following trigonometric identity:




sin 4   4 sin  cos  8 sin 3  cos
9.
10.
Find all solutions in the interval 0    2 :
[Note: The angles are measured in radians.]
(a)
1  2 cos  0
(b)
sin 2  
1
2
Find ALL solutions in to the following problem.
[Note: The angles are measured in radians.]
2 sin 2   3  9 cos 