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The Unit Circle Practice Questions

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Updated on Oct 1, 2011

Read the following study guide for a concept review:

The Unit Circle Study Guide

Practice Questions

1. Give the angle between 0° and 360° that corresponds to the point (–1,0).
2. What negative angle between 0° and – 360° corresponds to the point (0,–1)?

 

For problems 3 through 8, find the point on the unit circle that corresponds to the given angle.

3.
4. 540°
5.
6.
7. 630°
8. –90°

 

Find the point on the unit circle that corresponds to the following angles.

9. –60°
10.
11. 420°
12. –120°
13.
14.
15. 180°
16.

 

Find the point on the unit circle that corresponds to the given angle.

17.
18. –30°
19.
20. 390°
21.
22. –270°
23. 570°
24.

 

Find the point of the unit circle that corresponds to the given angle.

25.
26. 405°
27. –45°
28.
29. 810°

Answers

1. 180°, or π radians
2. –90°, or radians
3. (0,1)
4. (–1,0)
5. (0,1)
6. (1,0)
7. (0,–1)
8. (0,–1)
9.
10.
11.
12.
13. (0,–1)
14.
15. (–1,0)
16.
17.
18.
19.
20.
21.
22. (0,1)
23.
24.
25.
26.
27.
28.
29. (0,1)
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