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Find sine, cosine and tangent from side lengths

Year 13 maths · Fieldbook Learning

Name ______________________ Date __________

SOH CAH TOA: opposite, adjacent and hypotenuse.

  1. In right triangle ABC the right angle is at C, BC = 11, AC = 60 and AB = 61. What is cos A? Write a fraction in lowest terms.
  2. In right triangle ABC the right angle is at C, BC = 6, AC = 8 and AB = 10. What is tan B? Write a fraction in lowest terms.
  3. In right triangle ABC the right angle is at C, BC = 22, AC = 120 and AB = 122. What is tan B? Write a fraction in lowest terms.
  4. In right triangle ABC the right angle is at C, BC = 36, AC = 105 and AB = 111. What is tan B? Write a fraction in lowest terms.
  5. In right triangle ABC the right angle is at C, BC = 27, AC = 120 and AB = 123. What is cos A? Write a fraction in lowest terms.
  6. In right triangle ABC the right angle is at C, BC = 33, AC = 180 and AB = 183. What is tan B? Write a fraction in lowest terms.
  7. In right triangle ABC the right angle is at C, BC = 60, AC = 63 and AB = 87. What is tan A? Write a fraction in lowest terms.
  8. In right triangle ABC the right angle is at C, BC = 22, AC = 120 and AB = 122. What is cos B? Write a fraction in lowest terms.
  9. In right triangle ABC the right angle is at C, BC = 27, AC = 120 and AB = 123. What is cos B? Write a fraction in lowest terms.
  10. In right triangle ABC the right angle is at C, BC = 56, AC = 90 and AB = 106. What is cos B? Write a fraction in lowest terms.
  11. In right triangle ABC the right angle is at C, BC = 14, AC = 48 and AB = 50. What is sin A? Write a fraction in lowest terms.
  12. In right triangle ABC the right angle is at C, BC = 28, AC = 45 and AB = 53. What is sin B? Write a fraction in lowest terms.
  13. In right triangle ABC the right angle is at C, BC = 18, AC = 80 and AB = 82. What is tan B? Write a fraction in lowest terms.
  14. In right triangle ABC the right angle is at C, BC = 8, AC = 15 and AB = 17. What is sin B? Write a fraction in lowest terms.
  15. In right triangle ABC the right angle is at C, BC = 24, AC = 45 and AB = 51. What is cos B? Write a fraction in lowest terms.
  16. In right triangle ABC the right angle is at C, BC = 84, AC = 135 and AB = 159. What is cos A? Write a fraction in lowest terms.
  17. In right triangle ABC the right angle is at C, BC = 32, AC = 126 and AB = 130. What is cos B? Write a fraction in lowest terms.
  18. In right triangle ABC the right angle is at C, BC = 32, AC = 126 and AB = 130. What is tan B? Write a fraction in lowest terms.
  19. In right triangle ABC the right angle is at C, BC = 33, AC = 56 and AB = 65. What is cos A? Write a fraction in lowest terms.
  20. In right triangle ABC the right angle is at C, BC = 5, AC = 12 and AB = 13. What is sin A? Write a fraction in lowest terms.
More free practice: fieldbooklearning.com/uk/practice/year-13/sine-cosine-and-tangent-of-a-right-triangle/

Answer key: Find sine, cosine and tangent from side lengths

  1. 60/61
  2. 4/3
  3. 60/11
  4. 35/12
  5. 40/41
  6. 60/11
  7. 20/21
  8. 11/61
  9. 9/41
  10. 28/53
  11. 7/25
  12. 45/53
  13. 40/9
  14. 15/17
  15. 8/17
  16. 45/53
  17. 16/65
  18. 63/16
  19. 56/65
  20. 5/13