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Trigonometry and Tangents Practice Questions

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Updated on Oct 1, 2011

Read the following study guide for a concept review:

Trigonometry and Tangents Study Guide

Practice Questions

Find the tangent of angle x in the following triangles.

1. Tangent
2. Tangent
3. Tangent
4. Tangent
5. Tangent
6. Tangent
7. Tangent
8. Tangent
9. Tangent
10. Tangent
11. What is tan(x) if sin(x) = and cos(x) = ?
12. Suppose sin(θ) = and cos(θ) = . What is tan(θ)?
13. What is tan(x) when sin(x) = and cos(x) = ?
14. If cos(x) = and sin(x) = , then what is tan(x)?
15. If sin(x) = 0.75 and cos(x) ≈ 0.66, then what is tan(x), approximately?
16. If sin(x) = and cos(x) = , then what is tan(x)?
17. What is sin(x) when tan(x) = and cos(x) = ?
18. What is sin(x) when cos(x) = and tan(x) = ?
19. What is cos(x) when sin(x) = and tan(x) = ?
20. What is the cosme of angle θ for which tan(θ) = and sin(θ) = ?
21. What is tan(x) when sin(x) = ?
22. If cos(x) = , then what is tan(x)?
23. If cos(x) = , then what is sin(x)?
24. Suppose tan(x) = . What is cos(x)?
25. Suppose sin(x) = . What is cos(x)?
26. If sin(x) = , then what is tan(x)?
27. What is the cosine of the angle whose tangent is ?

Answers

1. tan(x) =
2. tan(x) =
3. tan(x) =
4. tan(x) =
5. tan(x) =
6. tan(x) =
7. tan(x) =
8. tan(x) =
9. tan(x) =
10. tan(x) =
11. tan(x) =
12. tan(x) =
13. tan(x) =
14. tan(x) = 4
15. tan(x) ≈ 1.14
16. tan(x) = 1
17. sin(x) =
18. sin(x) =
19. cos(x) =
20. cos(θ) =
21. tan(x) =
22. tan(x) =
23. sin(x) =
24. cos(x) =
25. cos(x) =
26. tan(x) =
27. cos(x) =
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