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Name ______________________________________ Date _________________________ Period __________
Accelerated Algebra 1
Trigonometric Ratios Worksheet
* When doing trig problems, think: ________________________________________
sin  
cos  
tan  
I. Use the Diagram at the right to find the trigonometric ratio.
1. sin A ___________
2. cos A ___________
3. tan A ___________
4. sin B ___________
5. cos B ___________
6. tan B ___________
Use for #1-6all
7. sin J ___________
8.
cos K ___________
9. tan K ___________
10. cos J ___________
Use for #7-10all
II. Find the sine, cosine, and tangent of the acute angles of the triangle.
11.
sin D ___________
sin F ___________
cos D ___________
cos F ___________
tan D ___________
tan F ___________
III. Find the sine, cosine, and tangent of the acute angles of the triangle. Express each answer as a
decimal rounded to the nearest ten-thousandths.
12.
Accelerated Algebra 1
sin R ___________
cos R ___________
tan R ___________
sin Q ___________
cos Q ___________
tan Q ___________
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IV. Match the trigonometric expression with the correct ratio. Some ratios may be used more than once,
and some may not be used at all.
5
______ 13. sin A  ?
A.
13
12
______ 14. cos A  ?
B.
13
5
______ 15. tan A  ?
C.
12
12
______ 16. sin B  ?
D.
5
13
______ 17. cos B  ?
E.
12
13
______ 18. tan B  ?
F.
5
V. Use a calculator to approximate the given value to the nearest ten thousandth.
19. sin 10 ___________
20. cos 38 ___________
21. tan 44 ___________
22. sin 74 ___________
23. tan 65 ___________
24. cos 63 ___________
25. cos 33 ___________
26. sin 57 ___________
27. tan 24 ___________
VI. A is an acute angle. Use a calculator to approximate the measure of A . Round your answer to
the nearest degree.
28. sin A  0.42 __________
29. tan A  2.50 __________
30. tan A  2.66 __________
31. cos A  0.98 __________
32. sin A  0.02 __________
33. tan A  1.50 __________
VII. Find the measure of the indicated angle. Round your answer to the nearest degree.
R
34.
35.
36.
8
S
11
mR  __________
Accelerated Algebra 1
T
mA  __________
mC  __________
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