Download π π π π π 15. sin38° π 7 cos 18 π

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Trigonometry-The Unit Circle Homework
Problems 1 − 8, find the exact value of each expression. Do not use a calculator.
1. sin
5.
13π
2
sec
9π
2
2.
cos ( 9π )
3. tan ( −3π )
4.
csc
6.
 7π 
cot 

 2 
7.
sin ( −5π )
8.
 −3π 
cos 

 2 
13π
2
Problems 9 − 14, find the exact value of each expression. Do not use a calculator.
9. cos 60° + tan45°
11.
cot 45° sec30°
13. 5 sin270° − 3 cos 180°
10. sin30° − cos 45°
12.
tan60 ° csc45°
14. tan135 ° cos 30°
Problems 15 − 22, use a calculator to approximate each expression. Be sure the calculator is in the
correct mode. Give answers correct to three decimal places.
15.
sin38°
16.
17.
tan3°
18. tan3
 5π 

 9 
19. sin 
21.
 5π 
tan  −

 12 
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csc59°
 7π 

 18 
20. cos 
22.
 2π 
sec  −

 15 
Jean Adams
Problems 23 − 26, find the exact value of the six trigonometric functions of the given angle. If any
are not defined, say “undefined.” Do not use a calculator.
23.
5π
6
25. −
3π
4
24.
7π
3
26. −
5π
2
Problems 27 − 30, a point on the terminal side of an angle θ is given. Find the exact values of the six
trigonometric functions of θ.
27.
(3, −4)
29. ( −1, −1)
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28.
( −1,2)
30. (5,12)
Jean Adams