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Unit Circle Quiz

Press "Start Quiz" to practice.

Questions and Answers to Learn

1) Based on your unit circle cos(0o)=

  • 1
  • 0
  • -1
  • 1/2

2) Based on your unit circle sin(90o)=

  • 1
  • 0
  • -1
  • 1/2

3) sin(5π/3)=

  • 1/2
  • -√3/2
  • √3/2
  • -1/2

4) sin(7π/4)

  • 1/2
  • -√2/2
  • √2/2
  • -1/2

5) sin(3π/2)

  • 0
  • 1
  • -1
  • 1/2

6) Find the exact value of cosine 135º.

  • – √2/2
  • √2/2
  • – √3/2
  • 0

7) Based on your unit circle sin(30o)=

  • sqt2/2
  • 1/2
  • 1
  • sqt3/2

8) Based on your unit circle cos(30o)=

  • 1
  • 1/2
  • sqt3/2
  • sqt2/2

9) Tangent is…

a. Opposite/hypotenuse
b. sine/cosine
c. neither a or b
d. both a and b

10) Based on your unit circle cos(90o)=

  • 1
  • 0
  • -1
  • 1/2

11) tan(225°)

  • -1
  • √2
  • 2√3/3
  • 1

12) sin(0°)

  • 0
  • 1/2
  • √3/2
  • 1

13) sin(120°)

  • 0
  • 1/2
  • √3/2
  • 1

14) sin 135

  • (square root 2)/2
  • (-square root 2)/2
  • 1/2
  • -1/2

15) cos 120

  • 1/2
  • -1/2
  • (square root 3)/2
  • (-square root 3)/2

16) cos(π)=

  • 0
  • 1
  • -1
  • 1/2

17) sin(π/6)

  • 1/2
  • √2/2
  • √3/2
  • 2

18) What is the cos of 2π/3?

  • -√2/2
  • √3/2
  • -1/2
  • 0

19) What is the sec of 7π/6?

  • 2
  • √3/2
  • −2√3/3
  • 0

20) When does sinx=0?

  • When π is over 1
  • When π is over 3
  • When π is 2
  • Never

21) What is the csc of 4π/3?

  • 2/√3
  • 2
  • 2/√2
  • 0

22) When does sinx=1?

  • When π is over 3
  • When π is over 4
  • When π is over 2
  • Never

23) What is the tan of 3π/2?

  • -√3
  • √3/3
  • -1
  • Undefined

24) What is the tan of 7π/4?

  • 0
  • 1
  • -1
  • -√3

25) What is the tan of 3π/4?

  • √3
  • -√3/3
  • -√3
  • -1

26) What is the tan of 4π/3?

  • 1
  • √3/3
  • -√3
  • √3

27) tan(225°)

  • -1
  • √2
  • 2√3/3
  • 1

28) What is the length in radians of the arc of the circle from 0 degrees to 120 degrees?

  • π/3
  • π/6
  • 2π/3
  • 3π/4

29) What are the coordinates that go where the red line is?

  • (√3/2,1/2)
  • (1/2,√3/2)
  • (√2/2,√2/2)
  • (√2/2,1/2)

30) What is cosine of the angle where the red line is?

  • -√3/2
  • √3/2
  • -√2/2
  • 1/2

31) What is the sine of the angle where the red line is?

  • -√3/2
  • -1/2
  • -√2/2
  • √2/2

32) What are the x and y coordinates for the angle shown?

  • (√2/2,-1/2)
  • (√2/2,-√2/2)
  • (√3/2,-1/2)
  • (1/2,-√3/2)

33) What is the length in radians of the arc of the circle from 0 degrees to the angle shown?

  • 2π/3
  • 3π/3
  • 4π/3
  • 5π/3

34) What is the tan of 11π/6?

  • √3/3
  • -√3/3
  • -√3
  • -1

35) What is the tan of π?

  • 0
  • √3/3
  • -√3
  • -1

36) What is the sin of 4π/3?

  • √2/2
  • -√3/2
  • √3/2
  • 1/2

 

30 degrees
π/6
45 degrees
π/4
60 degrees
π/3
120 degrees
2π/3
135 degrees
3π/4
150 degrees
5π/6
210 degrees
7π/6
225 degrees
5π/4
240 degrees
4π/3
90 degrees
π/2
180 degrees
π
270 degrees
3π/2
300 degrees
5π/3
315 degrees
7π/4
330 degrees
11π/6
360 degrees

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Unit Circle Practice Quiz

Unit Circle Quiz

Press "Start Quiz" to practice.

Questions and Answers to Learn

1) Based on your unit circle cos(0o)=

  • 1
  • 0
  • -1
  • 1/2

2) Based on your unit circle sin(90o)=

  • 1
  • 0
  • -1
  • 1/2

3) sin(5π/3)=

  • 1/2
  • -√3/2
  • √3/2
  • -1/2

4) sin(7π/4)

  • 1/2
  • -√2/2
  • √2/2
  • -1/2

5) sin(3π/2)

  • 0
  • 1
  • -1
  • 1/2

6) Find the exact value of cosine 135º.

  • – √2/2
  • √2/2
  • – √3/2
  • 0

7) Based on your unit circle sin(30o)=

  • sqt2/2
  • 1/2
  • 1
  • sqt3/2

8) Based on your unit circle cos(30o)=

  • 1
  • 1/2
  • sqt3/2
  • sqt2/2

9) Tangent is…

a. Opposite/hypotenuse
b. sine/cosine
c. neither a or b
d. both a and b

10) Based on your unit circle cos(90o)=

  • 1
  • 0
  • -1
  • 1/2

11) tan(225°)

  • -1
  • √2
  • 2√3/3
  • 1

12) sin(0°)

  • 0
  • 1/2
  • √3/2
  • 1

13) sin(120°)

  • 0
  • 1/2
  • √3/2
  • 1

14) sin 135

  • (square root 2)/2
  • (-square root 2)/2
  • 1/2
  • -1/2

15) cos 120

  • 1/2
  • -1/2
  • (square root 3)/2
  • (-square root 3)/2

16) cos(π)=

  • 0
  • 1
  • -1
  • 1/2

17) sin(π/6)

  • 1/2
  • √2/2
  • √3/2
  • 2

18) What is the cos of 2π/3?

  • -√2/2
  • √3/2
  • -1/2
  • 0

19) What is the sec of 7π/6?

  • 2
  • √3/2
  • −2√3/3
  • 0

20) When does sinx=0?

  • When π is over 1
  • When π is over 3
  • When π is 2
  • Never

21) What is the csc of 4π/3?

  • 2/√3
  • 2
  • 2/√2
  • 0

22) When does sinx=1?

  • When π is over 3
  • When π is over 4
  • When π is over 2
  • Never

23) What is the tan of 3π/2?

  • -√3
  • √3/3
  • -1
  • Undefined

24) What is the tan of 7π/4?

  • 0
  • 1
  • -1
  • -√3

25) What is the tan of 3π/4?

  • √3
  • -√3/3
  • -√3
  • -1

26) What is the tan of 4π/3?

  • 1
  • √3/3
  • -√3
  • √3

27) tan(225°)

  • -1
  • √2
  • 2√3/3
  • 1

28) What is the length in radians of the arc of the circle from 0 degrees to 120 degrees?

  • π/3
  • π/6
  • 2π/3
  • 3π/4

29) What are the coordinates that go where the red line is?

  • (√3/2,1/2)
  • (1/2,√3/2)
  • (√2/2,√2/2)
  • (√2/2,1/2)

30) What is cosine of the angle where the red line is?

  • -√3/2
  • √3/2
  • -√2/2
  • 1/2

31) What is the sine of the angle where the red line is?

  • -√3/2
  • -1/2
  • -√2/2
  • √2/2

32) What are the x and y coordinates for the angle shown?

  • (√2/2,-1/2)
  • (√2/2,-√2/2)
  • (√3/2,-1/2)
  • (1/2,-√3/2)

33) What is the length in radians of the arc of the circle from 0 degrees to the angle shown?

  • 2π/3
  • 3π/3
  • 4π/3
  • 5π/3

34) What is the tan of 11π/6?

  • √3/3
  • -√3/3
  • -√3
  • -1

35) What is the tan of π?

  • 0
  • √3/3
  • -√3
  • -1

36) What is the sin of 4π/3?

  • √2/2
  • -√3/2
  • √3/2
  • 1/2

 

30 degrees
π/6
45 degrees
π/4
60 degrees
π/3
120 degrees
2π/3
135 degrees
3π/4
150 degrees
5π/6
210 degrees
7π/6
225 degrees
5π/4
240 degrees
4π/3
90 degrees
π/2
180 degrees
π
270 degrees
3π/2
300 degrees
5π/3
315 degrees
7π/4
330 degrees
11π/6
360 degrees

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Quizzma Team

The Quizzma Team is a collective of experienced educators, subject matter experts, and content developers dedicated to providing accurate and high-quality educational resources. With a diverse range of expertise across various subjects, the team collaboratively reviews, creates, and publishes content to aid in learning and self-assessment.
Each piece of content undergoes a rigorous review process to ensure accuracy, relevance, and clarity. The Quizzma Team is committed to fostering a conducive learning environment for individuals and continually strives to provide reliable and valuable educational resources on a wide array of topics. Through collaborative effort and a shared passion for education, the Quizzma Team aims to contribute positively to the broader learning community.

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