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20 questions and an answer page, sized for A4.

Trigonometric identities

Year 11 · Trigonometry · 20 questions

Name
Date
  1. 1.
    sin 43° is equal to which of these?
    a)cos 43°b)sin 47°c)tan 43°d)cos 47°
  2. 2.
    Which expression equals tan θ?
    a)sin θ / cos θb)cos θ / sin θc)sin θ × cos θd)1 / sin θ
  3. 3.
    sin 62° is equal to which of these?
    a)tan 62°b)sin 28°c)cos 28°d)cos 62°
  4. 4.
    Simplify 2sin²θ + 2cos²θ
  5. 5.
    Simplify 9sin²θ + 9cos²θ
  6. 6.
    sin 63° is equal to which of these?
    a)cos 27°b)cos 63°c)sin 27°d)tan 63°
  7. 7.
    sin 18° is equal to which of these?
    a)cos 18°b)sin 72°c)cos 72°d)tan 18°
  8. 8.
    sin 12° is equal to which of these?
    a)tan 12°b)sin 78°c)cos 12°d)cos 78°
  9. 9.
    Simplify 8sin²θ + 8cos²θ
  10. 10.
    Simplify 5sin²θ + 5cos²θ
  11. 11.
    sin 77° is equal to which of these?
    a)cos 13°b)tan 77°c)sin 13°d)cos 77°
  12. 12.
    sin 15° is equal to which of these?
    a)sin 75°b)cos 75°c)tan 15°d)cos 15°
  13. 13.
    Simplify 6sin²θ + 6cos²θ
  14. 14.
    sin 35° is equal to which of these?
    a)tan 35°b)cos 35°c)cos 55°d)sin 55°
  15. 15.
    sin 10° is equal to which of these?
    a)cos 10°b)sin 80°c)tan 10°d)cos 80°
  16. 16.
    Simplify 3sin²θ + 3cos²θ
  17. 17.
    sin 32° is equal to which of these?
    a)tan 32°b)cos 58°c)sin 58°d)cos 32°
  18. 18.
    sin 40° is equal to which of these?
    a)cos 40°b)tan 40°c)sin 50°d)cos 50°
  19. 19.
    Simplify 7sin²θ + 7cos²θ
  20. 20.
    sin 78° is equal to which of these?
    a)cos 78°b)cos 12°c)sin 12°d)tan 78°

Free maths worksheets and practice: rocketdigits.com/learn/trigonometric-identities

Answers: Trigonometric identities

  1. d) cos 47°
  2. a) sin θ / cos θ
  3. c) cos 28°
  4. 2
  5. 9
  6. a) cos 27°
  7. c) cos 72°
  8. d) cos 78°
  9. 8
  10. 5
  11. a) cos 13°
  12. b) cos 75°
  13. 6
  14. c) cos 55°
  15. d) cos 80°
  16. 3
  17. b) cos 58°
  18. d) cos 50°
  19. 7
  20. b) cos 12°

Free maths worksheets and practice: rocketdigits.com/learn/trigonometric-identities

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