# Questions on Unit Circles in Trigonometry

Multiple choice questions on unit circle in trigonometry with answers at the bottom of the page. ## Questions and their Answers## Question 1Which 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 2A 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 ## Question 3Find the point on the Unit Circle associated with the rotation -9π/2a) (0 , -1) b) (0 , 1) c) (1 , 0) d) (-1 , 0) ## Question 4Find the point on the Unit Circle associated with the angle 5π/3a) (1 / 2 , 1 / 2) b) (-√3 / 2 , 1/2) c) (1 / 2 , -√3 / 2) d) (-√3 / 2 , -1/2) ## Question 5If 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 6If 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 7If 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 coordinatesa) (b , a) b) (-b , a) c) (-b , -a) d) (-a , b) ## Answers- a)
- b)
- d)
- c)
- d)
- a)
- b)
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