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. |  |
| 2. |  |
| 3. |  |
| 4. |  |
| 5. |  |
| 6. |  |
| 7. |  |
| 8. |  |
| 9. |  |
| 10. |  |
| 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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