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

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)

Question A point is in QuadrantIII and on the Unit Circle. If its xcoordinate is 4 / 5, what is the ycoordinate of the point?
a) 3 / 5
b) 3 / 5
c) 2 / 5
d) 5 / 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)

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)

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

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

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
 a)
 b)
 d)
 c)
 d)
 a)
 b)

