Questions on Using Symmetry of Unit Circles in Trigonometry

Multiple choice questions on using the symmetry of the unit circle in trigonometry with answers at the bottom of the page.

  1. Question If 0 < t < π / 2 and sin t = 0.35, then cos(t + π) =?

    a) 0.94
    b) -0.94
    c) 0.81
    d) -0.81


  2. Question If tan(t) = 13, then cot(-t) =?

    a) 13
    b) 1 / 13
    c) - 1 / 13
    d) - 13


  3. Question cos(x) + cos(π - x) =?

    a) 2 cos(x)
    b) cos(x) - sin(x)
    c) cos(x) + sin(x)
    d) 0


  4. Question If 0 < t < π/2 and sin t = 0.65, what is sin(t + π) ?

    a) -0.65
    b) 0.65
    c) 0.35
    d) 0.76


  5. Question If cos(-t) = 0.34, what is cos(t) ?

    a) -0.34
    b) 0.66
    c) 0.34
    d) - 0.66


  6. Question If sin(-t) = 0.54, what is - sin(t) ?

    a) 0.54
    b) -0.54
    c) - 0.46
    d) 0.46


  7. Question Which of the following is not the same as tan(t)?

    a) - tan(-t)
    b) tan(t + 2π)
    c) tan(t + π)
    d) tan(t + π / 2)


  8. Question Which of the following is not correct?

    a) sin(x) = -sin(-x)
    b) sec(-t) = sec(t)
    c) sin(π + x) = sin(x)
    d) cos(π - x) = -cos(x)


ANSWERS
  1. b)
  2. c)
  3. d)
  4. a)
  5. c)
  6. a)
  7. d)
  8. c)

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