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Unit Circle Quiz
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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/√2
- 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
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