WorksheetsUnit Circle Practice
Total questions: 36
Worksheet time: 7mins
Name
Class
Date
1.
Based on your unit circle cos(0o)=
a)
1
b)
0
c)
-1
d)
1/2
2.
Based on your unit circle sin(90o)=
a)
1/2
b)
0
c)
-1
d)
1
3.
sin(5π/3)=
a)
1/2
b)
-√3/2
c)
√3/2
d)
-1/2
4.
sin(7π/4)
a)
1/2
b)
-√2/2
c)
√2/2
d)
-1/2
5.
sin(3π/2)
a)
0
b)
1
c)
-1
d)
1/2
6.
Find the exact value of cosine 135º.
a)
- √2/2
b)
√2/2
c)
- √3/2
d)
0
7.
Based on your unit circle sin(30o)=
a)
sqt2/2
b)
1/2
c)
1
d)
sqt3/2
8.
Based on your unit circle cos(30o)=
a)
1
b)
1/2
c)
sqt3/2
d)
sqt2/2
9.
Tangent is...
a)
a. Opposite/hypotenuse
b)
b. sine/cosine
c)
c. neither a or b
d)
d. both a and b
10.
Based on your unit circle cos(90o)=
a)
1
b)
0
c)
-1
d)
1/2
11.
tan(225°)
a)
-1
b)
√2
c)
2√3/3
d)
1
12.
sin(0°)
a)
0
b)
1/2
c)
√3/2
d)
1
13.
sin(120°)
a)
0
b)
1/2
c)
√3/2
d)
1
14.
sin 135
a)
(square root 2)/2
b)
(-square root 2)/2
c)
1/2
d)
-1/2
15.
cos 120
a)
1/2
b)
-1/2
c)
(square root 3)/2
d)
(-square root 3)/2
16.
cos(π)=
a)
0
b)
1
c)
-1
d)
1/2
17.
sin(π/6)
a)
1/2
b)
√2/2
c)
√3/2
d)
2
18.
What is the cos of 2π/3?
a)
-√2/2
b)
√3/2
c)
-1/2
d)
0
19.
What is the sec of 7π/6?
a)
2
b)
√3/2
c)
2/√2
d)
0
20.
When does sinx=0?
a)
When π is over 1
b)
When π is over 3
c)
When π is 2
d)
Never
21.
What is the csc of 4π/3?
a)
2/√3
b)
2
c)
2/√2
d)
0
22.
When does sinx=1?
a)
When π is over 3
b)
When π is over 4
c)
When π is over 2
d)
Never
23.
What is the tan of 3π/2?
a)
-√3
b)
√3/3
c)
-1
d)
Undefined
24.
What is the tan of 7π/4?
a)
0
b)
1
c)
-1
d)
-√3
25.
What is the tan of 3π/4?
a)
√3
b)
-√3/3
c)
-√3
d)
-1
26.
What is the tan of 4π/3?
a)
1
b)
√3/3
c)
-√3
d)
√3
27.
tan(225°)
a)
-1
b)
√2
c)
2√3/3
d)
1
28.
What is the length in radians of the arc of the circle from 0 degrees to 120 degrees?
a)
π/3
b)
π/6
c)
2π/3
d)
3π/4
29.
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)
30.
What is cosine of the angle where the red line is?
a)
-√3/2
b)
√3/2
c)
-√2/2
d)
1/2
31.
What is the sine of the angle where the red line is?
a)
-√3/2
b)
-1/2
c)
-√2/2
d)
√2/2
32.
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)
33.
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
34.
What is the tan of 11π/6?
a)
√3/3
b)
-√3/3
c)
-√3
d)
-1
35.
What is the tan of π?
a)
0
b)
√3/3
c)
-√3
d)
-1
36.
What is the sin of 4π/3?
a)
√2/2
b)
-√3/2
c)
√3/2
d)
1/2
100 %
