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WorksheetsHPC_Unit Circle
Total questions: 30
Worksheet time: 35mins
Name
Class
Date
1.
sin π/4
a)
√2∕2
b)
1/2
c)
√3/2
d)
0
2.
cos 5π/6
a)
-1/2
b)
1/2
c)
√3/2
d)
-√3/2
3.
cos 4π/3
a)
-√3/2
b)
√3/2
c)
1/2
d)
-1/2
4.
sin 7π/6
a)
1/2
b)
-1/2
c)
√3/2
d)
-√3/2
5.
sin 2π/3
a)
1/2
b)
-1/2
c)
√3/2
d)
-√3/2
6.
At θ = 30°, what is the equivalent angle measure in radians?
a)
π/2
b)
π/3
c)
π/4
d)
π/6
7.
What is the angle measure, in degrees, at the red marking on the unit circle?
a)
30°
b)
45°
c)
60°
d)
90°
8.
What is the value of θ, theta, in degrees on the unit circle?
a)
30°
b)
45°
c)
60°
d)
90°
9.
Based on the unit circle, what is the value of tan?
a)
y/r
b)
x/r
c)
r/y
d)
y/x
10.
what is the exact value of tan (-π)
a)
undefined
b)
0
c)
1
d)
-1
11.
What is the exact value of sin 150°
a)
-1/2
b)
-√3/2
c)
1/2
d)
√3/2
12.
What is the exact value of cos 135°
a)
√2/2
b)
-√2/2
c)
√3/2
d)
-√3/2
13.
What is the exact value of cos 180°
a)
0
b)
1
c)
-1
d)
undefined
14.
What is the exact value of sin 180°
a)
0
b)
1
c)
-1
d)
undefined
15.
π/3 is equal to how many degrees?
a)
30°
b)
60°
c)
90°
d)
120°
16.
90° is equal to how many radians?
a)
π/4
b)
π/2
c)
π
d)
2π
17.
cos(60°)
a)
0
b)
1/2
c)
√3/2
d)
1
18.
Based on the unit circle, what is the value of sin?
a)
y/r
b)
x/r
c)
r/y
d)
y/x
19.
Based on the unit circle, what is the value of cos?
a)
y/r
b)
x/r
c)
r/y
d)
y/x
20.
Sin is?
a)
Opposite/Hypotenuse
b)
Adjacent/Hypotenuse
c)
Opposite/Adjacent
d)
Hypotenuse/Opposite
21.
Cos is?
a)
Opposite/Hypotenuse
b)
Adjacent/Hypotenuse
c)
Opposite/Adjacent
d)
Hypotenuse/Opposite
22.
Tan is?
a)
Opposite/Hypotenuse
b)
Adjacent/Hypotenuse
c)
Opposite/Adjacent
d)
Hypotenuse/Opposite
23.
What is a complete circle in radians?
a)
π
b)
2π
c)
1/2 π
d)
1
24.
What is the length in radians of the arc of the circle from 0 degrees to 150 degrees?
a)
2π/3
b)
3π/4
c)
5π/6
d)
3π/2
25.
What are the coordinates that go above the red line?
a)
(√3/2,1/2)
b)
(√2/2,1/2)
c)
(√2/2,√2/2)
d)
(1/2,√3/2)
26.
What are the coordinates that go where the red line is?
a)
(√3/2,1/2)
b)
(1/2,√3/2)
c)
(√2/2,√2/2)
d)
(√2/2,1/2)
27.
What are the x and y coordinates for the angle shown?
a)
(√2/2,-1/2)
b)
(√2/2,-√2/2)
c)
(√3/2,-1/2)
d)
(1/2,-√3/2)
28.
What is the length in radians of the arc of the circle from 0 degrees to the angle shown?
a)
2π/3
b)
3π/3
c)
4π/3
d)
5π/3
29.
cos 240⁰
a)
-1/2
b)
1/2
c)
√3/2
d)
-√3/2
30.
tan 3π/2
a)
-1
b)
0
c)
1
d)
undefined
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