unit-circle-quiz

Unit Circle Quiz

by Alberto GoldbergPublished: November 4, 2025

Math Quiz For Students
Step into the world of trigonometry and test your knowledge of the unit circle! This quiz will challenge your understanding of angles, radians, and the relationships between sine, cosine, and tangent. Whether you’re a math enthusiast or just brushing up on your skills, this quiz is designed to engage and educate. Sharpen your pencils and get ready to prove your prowess with these intriguing questions!
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Unit Circle Quiz
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1. What is the cosine of 0 radians?
Think about the coordinates of the point on the unit circle at 0 radians.

Unit Circle Quiz Questions Overview

1. What is the cosine of 0 radians?

0
1
-1
Undefined

2. What is the sine of π/2 radians?

0
1
-1
Undefined

3. What is the tangent of π radians?

0
1
-1
Undefined

4. What is the sine of 3Ï€/2 radians?

0
1
-1
Undefined

5. What is the cosine of π/3 radians?

1/2
√3/2
-1/2
-√3/2

6. What is the tangent of π/4 radians?

0
1
-1
Undefined

7. What is the sine of π/6 radians?

1/2
√3/2
-1/2
-√3/2

8. What is the cosine of 2Ï€/3 radians?

1/2
-1/2
√3/2
-√3/2

9. What is the tangent of 5Ï€/4 radians?

1
-1
0
Undefined

10. What is the sine of 7Ï€/6 radians?

-1/2
1/2
-√3/2
√3/2

11. What is the cosine of 5Ï€/6 radians?

-√3/2
√3/2
-1/2
1/2

12. What is the tangent of 11Ï€/6 radians?

-1/√3
1/√3
√3
-√3

13. What is the sine of 2Ï€ radians?

0
1
-1
Undefined

14. What is the cosine of 3Ï€/4 radians?

-√2/2
√2/2
-1/2
1/2
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