Unit Circle Practice Quiz

Questions and Answers to Learn

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

• 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