Questions on Unit Circles in Trigonometry

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

  1. Question Which of the following points is in the unit circle?

    a) (-√2 / 2 , -√2 / 2)
    b) (√2 / 3 , -√2 / 3)
    c) (1 / 2 , 1 / 2)
    d) (3 / 2 , 2 / 3)


  2. Question A point is in Quadrant-III and on the Unit Circle. If its x-coordinate is -4 / 5, what is the y-coordinate of the point?

    a) 3 / 5
    b) -3 / 5
    c) -2 / 5
    d) 5 / 3


  3. Question Find the point on the Unit Circle associated with the rotation -9π/2

    a) (0 , -1)
    b) (0 , 1)
    c) (1 , 0)
    d) (-1 , 0)


  4. Question Find the point on the Unit Circle associated with the angle 5π/3

    a) (1 / 2 , 1 / 2)
    b) (-√3 / 2 , 1/2)
    c) (1 / 2 , -√3 / 2)
    d) (-√3 / 2 , -1/2)


  5. Question If point (a , b) is on the Unit Circle associated with the rotation t, which of the following is not correct?

    a) sin(t) = b
    b) cos(t) = a
    c) sin(-t) = - a
    d) cos(-t) = - a


  6. Question If point (a , b) is on the Unit Circle associated with the rotation t and point (c , d) is also on the Unit circle associated with rotation t + π, then which of the following is correct?

    a) c = - a and d = - b
    b) c = - a and d = b
    c) c = a and d = b
    d) c = a and d = - b


  7. Question If point (a , b) is on the Unit Circle associated with the rotation t, then the point on the Unit circle associated with rotation t + π / 2, has the following coordinates

    a) (b , a)
    b) (-b , a)
    c) (-b , -a)
    d) (-a , b)


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