Back to teacher guide Browse all worksheets
Show answer key

Mathorio

Worksheet

Even and Odd Trigonometric Identities

Name:
Class:
Date:

Show your work for each problem.

  1. 1.
    Which trigonometric function is even?
    1. a)Cotangent
    2. b)Tangent
    3. c)Sine
    4. d)Cosine
  2. 2.
    What is ?
    1. a)
    2. b)
    3. c)
    4. d)
  3. 3.
    If , what is ? (Enter as a fraction with sqrt for square root)
  4. 4.
    Which of the following is an odd function?
    1. a)
    2. b)
    3. c)
    4. d)
  5. 5.
    Simplify to a single expression with . (Include the sign)
  6. 6.
    Simplify:
  7. 7.
    If , what is ?
    1. a)
    2. b)
    3. c)
    4. d)
  8. 8.
    Simplify to an expression using only positive angles.
  9. 9.
    Simplify:
  10. 10.
    What is ?
    1. a)
    2. b)
    3. c)
    4. d)
  11. 11.
    Is the function even, odd, or neither? (Enter: even, odd, or neither)
  12. 12.
    Prove that for all .
  13. 13.
    Simplify:
  14. 14.
    If , is even, odd, or neither?
    1. a)Neither
    2. b)Cannot be determined
    3. c)Even
    4. d)Odd
  15. 15.
    Prove:
  16. 16.
    If and , what is ?
Interactive lesson with step-by-step solutions and more practice (free): mathorio.com/en/learn/trigonometry/identities/even-odd-identities