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Trigonometry and Cosine Practice Questions

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Updated on Oct 2, 2011

Read the following study guide for a concept review

Trigonometry and Cosine Study Guide

Practice Questions

Find the cosine of the angle θ in each triangle.

1. Cosine
2. Cosine
3. Cosine
4. Cosine
5. Cosine
6. Cosine
7. Cosine
8. Cosine
9. Cosine
10. Cosine
11. If sin(x) = , what is cos(90° – x)?
12. If sin(x) = , what is cos(x)?
13. If sin(30°) = , then what is cos(60°)?
14. What is cos(30°) if sin(30°) = ?
15. Find cos(x) when sin(x) = .
16. If cos(40°) ≈ 0.766, then what is sin(50°)?
17. If cos(x) = , then what is sin(x)?
18. Find sin(x) when cos(x) = .
19. If cos(45°) = , then what is sin(45°)?
20. What is the sin(x) if cos(x) = ?
21. Suppose cos(x) = 0.11. If the hypotenuse of a right triangle with angle x is H = 14 feet long, what is the length of the side adjacent to angle x?
22. Suppose cos(x) = 0.5 for angle x in a right triangle. If the side adjacent to angle x has length A = 3 feet long, what is the length of the hypotenuse?
23. Suppose cos(x) = for angle x in a right triangle with hypotenuse H = 10 inches long. What are the lengths of the other two sides?

Answers

1. cos(θ) =
2. cos(θ) =
3. cos(θ) =
4. cos(θ) =
5. cos(θ) =
6. cos(θ) =
7. cos(θ) =
8. cos(θ) =
9. cos(θ) =
10. cos(θ) =
11. cos (90° – x) =
12. cos(x) =
13. cos (60°) =
14. cos (30°) =
15. cos(x) =
16. sin (50°) ≈ 0.766
17. sin(x) =
18. sin(x) =
19. cos (45°) =
20. sin(x) =
21. A = 1.54 ft. long
22. H = 6 ft. long
23. A = in. long and O ≈ 9.58 in. long
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