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Trigonometry and Sine Practice Questions

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Updated on Oct 1, 2011

Read the following study guide for a concept review:

Trigonometry and Sine Study Guide

Practice Questions

Find sin(x) for the angle x in each triangle.

1. Sine
2. Sine
3. Sine
4. Sine
5. Sine
6. Sine
7. Sine
8. Sine
9. Sine
10. Sine

 

Find the sine of the angle x in each triangle.

11. Sine
12. Sine
13. Sine
14. Sine
15. Sine
16. Sine
17. Sine
18. Sine
19. Sine
20. Sine
21. If sin(x) = for the angle x in Figure 5.33, what is the length O of the opposite side?
  Figure 5.33
22. If sin(x) = 0.8, what is the hypotenuse of the triangle in Figure 5.34?
  Figure 5.34
23. If sin(x) = , what is the length A of the side adjacent to angle x in Figure 5.35?
  Figure 5.35
24. Suppose sin(x) = 0.65 for the angle in Figure 5.36. What is the length of the side adjacent to the angle x?
  Figure 5.36
25. Suppose the hypotenuse of a triangle with angle x is H = 15 inches long. If sin(x) = , what is the length of the side opposite x?

Answers

1.
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6.
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8.
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11.
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15.
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17.
18.
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20.
21. O = 8 ft.
22. H = 20 in.
23. A = √875 ≈ 29.58 ft.
24. A = √924 ≈ 30.4 in.
25. O = 6 in.
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