# 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 1

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 2

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

### Question 3

Find the point on the Unit Circle associated with the rotation -9π/2a) (0 , -1)

b) (0 , 1)

c) (1 , 0)

d) (-1 , 0)

### Question 4

Find 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 5

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 6

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 7

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 coordinatesa) (b , a)

b) (-b , a)

c) (-b , -a)

d) (-a , b)

## Answers

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