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Find one trig ratio from another

Grade 12 math · Fieldbook Learning

Name ______________________ Date __________

Draw the right triangle, then pick the sign from the quadrant.

  1. cos θ = 12/13 and θ is acute. What is sin θ? Write a fraction in lowest terms.
  2. sin θ = 48/73 and θ is acute. What is cos θ? Write a fraction in lowest terms.
  3. sin θ = 65/97 and θ is acute. What is tan θ? Write a fraction in lowest terms.
  4. sin θ = 13/85 and θ is acute. What is tan θ? Write a fraction in lowest terms.
  5. cos θ = 72/97 and θ is acute. What is tan θ? Write a fraction in lowest terms.
  6. cos θ = 21/29 and θ is acute. What is sin θ? Write a fraction in lowest terms.
  7. sin θ = 5/13 and θ is acute. What is cos θ? Write a fraction in lowest terms.
  8. cos θ = 4/5 and θ is acute. What is tan θ? Write a fraction in lowest terms.
  9. tan θ = -8/15 and θ is in quadrant II. What is cos θ? Write a fraction in lowest terms.
  10. cos θ = 56/65 and θ is acute. What is tan θ? Write a fraction in lowest terms.
  11. tan θ = 5/12 and θ is acute. What is cos θ? Write a fraction in lowest terms.
  12. tan θ = 36/77 and θ is acute. What is cos θ? Write a fraction in lowest terms.
  13. cos θ = 80/89 and θ is acute. What is tan θ? Write a fraction in lowest terms.
  14. sin θ = 33/65 and θ is in quadrant II. What is tan θ? Write a fraction in lowest terms.
  15. sin θ = 12/37 and θ is acute. What is cos θ? Write a fraction in lowest terms.
  16. sin θ = 20/29 and θ is acute. What is tan θ? Write a fraction in lowest terms.
  17. sin θ = 5/13 and θ is in quadrant II. What is tan θ? Write a fraction in lowest terms.
  18. sin θ = -11/61 and θ is in quadrant IV. What is cos θ? Write a fraction in lowest terms.
  19. sin θ = -39/89 and θ is in quadrant III. What is tan θ? Write a fraction in lowest terms.
  20. sin θ = 3/5 and θ is in quadrant II. What is cos θ? Write a fraction in lowest terms.
More free practice: fieldbooklearning.com/ca/practice/grade-12/find-a-trig-ratio-from-another/

Answer key: Find one trig ratio from another

  1. 5/13
  2. 55/73
  3. 65/72
  4. 13/84
  5. 65/72
  6. 20/29
  7. 12/13
  8. 3/4
  9. -15/17
  10. 33/56
  11. 12/13
  12. 77/85
  13. 39/80
  14. -33/56
  15. 35/37
  16. 20/21
  17. -5/12
  18. 60/61
  19. 39/80
  20. -4/5