By Christopher Thomas
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.
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4. | |
5. | |
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10. |
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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