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Worksheet

Reciprocal Identities

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Show your work for each problem.

  1. 1.
    What is the reciprocal identity for cosecant?
    1. a)
    2. b)
    3. c)
    4. d)
  2. 2.
    If , what is ?
  3. 3.
    Which function is the reciprocal of cosine?
    1. a)Secant
    2. b)Cotangent
    3. c)Tangent
    4. d)Cosecant
  4. 4.
    If , what is ? (Give as a decimal)
  5. 5.
    Find
  6. 6.
    Which expression equals ?
    1. a)
    2. b)
    3. c)
    4. d)
  7. 7.
    Simplify:
  8. 8.
    If , what is ? (Use decimal, round to 2 places)
  9. 9.
    At which angle is undefined?
    1. a)
    2. b)
    3. c)
    4. d)
  10. 10.
    Find
  11. 11.
    If , what is ? (Give as fraction like 12/5)
  12. 12.
    Simplify:
  13. 13.
    Which expression simplifies to ?
    1. a)
    2. b)
    3. c)
    4. d)
  14. 14.
    Find (exact value)
  15. 15.
    If , what is ? (Give as decimal)
  16. 16.
    Simplify:
Interactive lesson with step-by-step solutions and more practice (free): mathorio.com/en/learn/trigonometry/identities/reciprocal-identities