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WorksheetsUnit Circle Practice
Total questions: 30
Worksheet time: 37mins
Name
Class
Date
1.
Based on your unit circle cos(90o)=
a)
1
b)
0
c)
-1
d)
1/2
2.
sin(0°)
a)
0
b)
1/2
c)
√3/2
d)
1
3.
cos(60°)
a)
0
b)
1/2
c)
√3/2
d)
1
4.
What is the exact value of sin 150°
a)
-1/2
b)
-√3/2
c)
1/2
d)
√3/2
5.
What is a complete circle in radians?
a)
π
b)
2π
c)
1/2 π
d)
1
6.
What is the exact value of sin 210°
a)
-1/2
b)
-√3/2
c)
1/2
d)
√3/2
7.
What is the exact value of cos 330°
a)
-1/2
b)
-√3/2
c)
1/2
d)
√3/2
8.
What is the exact coordinates of 3π/4 on the unit circle?
a)
(−√2∕2, √2∕2)
b)
(−√2∕2, −√2∕2)
c)
(−√3∕2, −√2∕2)
d)
(√2∕2, −√2∕2)
9.
What is the exact value of cos 135°
a)
√2/2
b)
-√2/2
c)
√3/2
d)
-√3/2
10.
What are the coordinates of 210° on the unit circle?
a)
(−√3/2, −1/2)
b)
(√3/2, −1/2)
c)
(−√3/2, 1/2)
d)
(−1/2,−√3/2 )
11.
4π/3 is equal to how many degrees?
a)
60°
b)
240°
c)
300°
d)
120°
12.
π/2 is equal to how many degrees?
a)
180°
b)
90°
c)
135°
d)
240°
13.
sin(5π/3)=
a)
1/2
b)
-√3/2
c)
√3/2
d)
-1/2
14.
tan(3π/2)=
a)
-√3
b)
√3/3
c)
-1
d)
Undefined
15.
What is the exact value of csc 0°
a)
0
b)
1
c)
-1
d)
undefined
16.
π/3 is equal to how many degrees?
a)
30°
b)
60°
c)
90°
d)
120°
17.
What is the exact value of tan (-π)?
a)
undefined
b)
0
c)
1
d)
-1
18.
What is the exact value of sin 7π/6
a)
1/2
b)
-1/2
c)
√3/2
d)
-√3/2
19.
What is the exact value of cos 5π/6?
a)
-1/2
b)
1/2
c)
√3/2
d)
-√3/2
20.
What is the exact value of sin 2π/3
a)
1/2
b)
-1/2
c)
√3/2
d)
-√3/2
21.
What radian measure corresponds to the point
a)
π/4
b)
3π/2
c)
5π/4
d)
7π/3
22.
What quadrant does 21π/4 lie in?
a)
Quadrant 1
b)
Quadrant 2
c)
Quadrant 3
d)
Quadrant 4
23.
Which of the following is closest to the measure of the angle shown?
a)
30º
b)
40º
c)
395º
d)
440º
24.
Find the reference angle for an angle measuring θ = -2π / 3
a)
π / 3
b)
2π /3
c)
-π /3
d)
60⁰
25.
Convert from degrees to radians: 10°
a)
π ∕ 18
b)
π ∕ 180
c)
3π ∕5
d)
2π ∕ 36
26.
The unit circle...
a)
Has center at (1,1)
b)
Has a circumference of 1
c)
Has a diameter of 1
d)
Has a radius of 1
27.
−√3
̅ ̅ ̅ ̅2̅ ̅ ̅ ̅
̅ ̅ ̅ ̅2̅ ̅ ̅ ̅
a)
sin 7π/6
b)
cos 7π/6
c)
sin 5π/6
d)
cos 2π/6
28.
√3
̅ ̅ ̅2̅ ̅ ̅
̅ ̅ ̅2̅ ̅ ̅
a)
cos π/6
b)
sin π/6
c)
cos π/3
d)
tan π/3
29.
If sin A < 0 and cos A < 0, then what quadrant is A in?
a)
I
b)
II
c)
III
d)
IV
30.
What are the negative and positive coterminal angles of 240 degrees?
a)
540°, -120°
b)
600°, -120°
c)
425°, -240°
d)
120°, -135°
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