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Worksheets

Full Unit Circle Practice

Total questions: 139

Worksheet time: 3595secs

Name
Class
Date
1.
What is 0o in radians? 
a)
2π 
b)
0
c)
π
d)
 π/2
2.
What is 30o in radians? 
a)
2π/3
b)
π/3
c)
4π/6
d)
π/6
3.
What is 45o in radians?
a)
π/4
b)
π/3
c)
π/6
d)
2π/3
4.
What is 60o in radians? 
a)
2π/3
b)
π/3
c)
4π/3
d)
π/6
5.
What is 90o in radians? 
a)
π/4
b)
π/2
c)
π/9
d)
3π/2
6.
What is 120o in radians?
 
a)
2π/3
b)
π/3
c)
5π/6
d)
4π/3
7.
What is 135o in radians?
a)
3π/4
b)
4π/3
c)
5π/6
d)
2π/3
8.
What is 150o in radians?
a)
5π/4
b)
7π/6
c)
5π/6
d)
2π/3
9.
What is 210o in radians? 
a)
5π/6
b)
4π/3
c)
5π/3
d)
7π/6
10.
What is 225o in radians? 
a)
7π/4
b)
5π/4
c)
3π/4
d)
5π/3
11.
What is 240o in radians? 
a)
π/3
b)
4π/3
c)
5π/3
d)
2π/3
12.
What is 270o in radians? 
a)
π/4
b)
π/2
c)
3π/4
d)
3π/2
13.
What is 300o in radians? 
a)
11π/6
b)
3π/2
c)
5π/3
d)
4π/3
14.
What is 315o in radians? 
a)
11π/6
b)
3π/2
c)
5π/4
d)
7π/4
15.
What is 330o in radians? 
a)
11π/6
b)
5π/3
c)
3π/4
d)
π/2
16.
What is 360o in radians? 
a)
0
b)
5π/4
c)
2π
d)
π
17.
What is 0 radians in degrees? 
a)
90o
b)
30o
c)
0o
d)
60o
18.
What is π/6 radians in degrees? 
a)
30o
b)
60o
c)
45o
d)
90o
19.
What is π/4 radians in degrees? 
a)
30o
b)
60o
c)
45o
d)
90o
20.
What is π/3 radians in degrees? 
a)
30o
b)
60o
c)
45o
d)
90o
21.
What is π/2 radians in degrees? 
a)
30o
b)
60o
c)
45o
d)
90o
22.
What is 2π/3 radians in degrees? 
a)
150o
b)
120o
c)
180o
d)
135o
23.
What is 3π/4 radians in degrees?
a)
150o
b)
135o
c)
120o
d)
180o
24.
What is 5π/6 radians in degrees?
a)
180o
b)
150o
c)
135o
d)
120o
25.
What is π radians in degrees? 
a)
360o
b)
90o
c)
180o
d)
270o
26.
What is 7π/6 radians in degrees?
a)
225o
b)
210o
c)
270o
d)
240o
27.
What is 5π/4 radians in degrees?
a)
300o
b)
240o
c)
315o
d)
225o
28.
What is 4π/3 radians in degrees?
 
a)
135o
b)
240o
c)
210o
d)
225o
29.
What is 3π/2 radians in degrees? 
a)
90o
b)
180o
c)
270o
d)
360o
30.
What is 5π/3 radians in degrees?
 
a)
330o
b)
240o
c)
300o
d)
315o
31.
What is 7π/4 radians in degrees?
a)
300o
b)
270o
c)
315o
d)
330o
32.
What is 2π radians in degrees? 
a)
90o
b)
180o
c)
0o
d)
360o
33.
What is 11π/6 radians in degrees? 
a)
315o
b)
330o
c)
360o
d)
 300o
34.
Choose the best match for the graph.
a)
30o
b)
45o
c)
60o
d)
90o
35.
Choose the best match for the graph.
a)
30o
b)
45o
c)
60o
d)
90o
36.
Choose the best match for the graph.
a)
30o
b)
45o
c)
60o
d)
90o
37.
Choose the best match for the graph.
a)
45o
b)
90o
c)
135o
d)
180o
38.
Choose the best match for the graph.
a)
120o
b)
135o
c)
150o
d)
105o
39.
Choose the best match for the graph.
a)
120o
b)
135o
c)
150o
d)
100o
40.
Choose the best match for the graph.
a)
120o
b)
135o
c)
150o
d)
160o
41.
Choose the best match for the graph.
a)
90o
b)
135o
c)
150o
d)
180o
42.
Choose the best match for the graph.
a)
210o
b)
225o
c)
240o
d)
270o
43.
Choose the best match for the graph.
a)
210o
b)
225o
c)
240o
d)
215o
44.
Choose the best match for the graph.
a)
210o
b)
225o
c)
230o
d)
240o
45.
Choose the best match for the graph.
a)
240o
b)
270o
c)
300o
d)
180o
46.
Choose the best match for the graph.
a)
300o
b)
315o
c)
330o
d)
340o
47.
Choose the best match for the graph.
a)
300o
b)
315o
c)
325o
d)
340o
48.
Choose the best match for the graph.
a)
300o
b)
315o
c)
330o
d)
340o
49.
Choose the best match for the graph.
a)
300o
b)
315o
c)
330o
d)
360o
50.

sin(30o)=

a)

√2/2

b)

1/2

c)

1

d)

√3/2

51.

sin(150o)=

a)

√2/2

b)

1/2

c)

1

d)

√3/2

52.
cos(90o)=
a)
1
b)
0
c)
-1
d)
1/2
53.
cos(2π/3)
a)
-√2/2
b)
√3/2
c)
-1/2
d)
0
54.
a)

cos π/6

b)

sin π/4

c)

cos π/3

d)

tan π/4

55.
a)

sin 7π/6

b)

cos 7π/6

c)

sin 5π/6

d)

cos 2π/3

56.
cos(π)=
a)
0
b)
1
c)
-1
d)
1/2
57.
sin(5π/3)=
a)
1/2
b)
-√3/2
c)
√3/2
d)
-1/2
58.
cos(60°)
a)
0
b)
1/2
c)
√3/2
d)
1
59.
sin(π/6)
a)
1/2
b)
√2/2
c)
√3/2
d)
2
60.
What is the sin of π/6?
a)
√3/2
b)
-1/2
c)
√2/2
d)
1/2
61.
What is the cos of 2π/3?
a)
-√2/2
b)
√3/2
c)
-1/2
d)
0
62.
Based on your unit circle cos(0o)=
a)
1
b)
0
c)
-1
d)
1/2
63.
Based on your unit circle sin(90o)=
a)
1/2
b)
0
c)
-1
d)
1
64.
sin(5π/3)=
a)
1/2
b)
-√3/2
c)
√3/2
d)
-1/2
65.
Find the exact value of cosine 135º.
a)
- √2/2
b)
√2/2
c)
- √3/2
d)
0
66.
Convert -4π/3
a)
-240
b)
-230
c)
-250
d)
-480
67.
Convert π/3
a)
120
b)
60
c)
140
d)
50
68.
Choose the sine value for the angle shown on the graph.
a)
√3/3
b)
√3/2
c)
1/2
d)
√3
69.
Choose the sine value for the angle shown on the graph.
a)
√2/2
b)
√3/2
c)
1
d)
√3
70.
Choose the sine value for the angle shown on the graph.
a)
√3/2
b)
1
c)
√3/3
d)
√2/2
71.
Choose the sine value for the angle shown on the graph.
a)
1
b)
undefined
c)
-1
d)
0
72.
Choose the sine value for the angle shown on the graph.
a)
√3/2
b)
1
c)
√3/3
d)
-1
73.
Choose the sine value for the angle shown on the graph.
a)
√3
b)
1
c)
√3/2
d)
√2/2
74.
Choose the sine value for the angle shown on the graph.
a)
-√3/2
b)
1/2
c)
-1/2
d)
√2/2
75.
Choose the sine value for the angle shown on the graph.
a)
undefined
b)
-1
c)
-√3/3
d)
0
76.
Choose the sine value for the angle shown on the graph.
a)
-√3/2
b)
-√2/2
c)
√3/3
d)
-1/2
77.
Choose the sine value for the angle shown on the graph.
a)
-√3/3
b)
-1/2
c)
-√3/2
d)
-√2/2
78.
Choose the sine value for the angle shown on the graph.
a)
-√3/3
b)
-1
c)
-√2/2
d)
-√3/2
79.
Choose the sine value for the angle shown on the graph.
a)
√2/2
b)
0
c)
1
d)
-1
80.
Choose the sine value for the angle shown on the graph.
a)
-√3/2
b)
-√2/2
c)
-√3/3
d)
-1/2
81.
Choose the sine value for the angle shown on the graph.
a)
-√3/2
b)
-1/2
c)
-√2/2
d)
-√3/3
82.
Choose the sine value for the angle shown on the graph.
a)
-√3/2
b)
-1/2
c)
-√3/3
d)
-√2/2
83.
Choose the sine value for the angle shown on the graph.
a)
-√2/2
b)
-1
c)
-√3/2
d)
0
84.
Choose the cosine value for the angle shown on the graph.
a)
√3/3
b)
√3/2
c)
1/2
d)
√3
85.
Choose the cosine value for the angle shown on the graph.
a)
√2/2
b)
√3/2
c)
1
d)
√3
86.
Choose the cosine value for the angle shown on the graph.
a)
√3/2
b)
1/2
c)
√3/3
d)
√2/2
87.
Choose the cosine value for the angle shown on the graph.
a)
1
b)
undefined
c)
-1
d)
0
88.
Choose the cosine value for the angle shown on the graph.
a)
-√3/2
b)
1
c)
-√3/3
d)
-1/2
89.
Choose the cosine value for the angle shown on the graph.
a)
√3
b)
-1/2
c)
-√3/2
d)
-√2/2
90.
Choose the cosine value for the angle shown on the graph.
a)
-√3/2
b)
1/2
c)
-1/2
d)
√2/2
91.
Choose the cosine value for the angle shown on the graph.
a)
undefined
b)
-1
c)
-√3/3
d)
0
92.

Choose the cosine value for the angle shown on the graph.

a)

-√3/2

b)

-√2/2

c)

√3/3

d)

-1/2

93.
Choose the cosine value for the angle shown on the graph.
a)
-√3/3
b)
-1/2
c)
-√3/2
d)
-√2/2
94.
Choose the cosine value for the angle shown on the graph.
a)
-√3/3
b)
-1/2
c)
-√2/2
d)
-√3/2
95.
Choose the cosine value for the angle shown on the graph.
a)
√2/2
b)
0
c)
1
d)
-1
96.
Choose the cosine value for the angle shown on the graph.
a)
√3/2
b)
√2/2
c)
√3/3
d)
1/2
97.
Choose the cosine value for the angle shown on the graph.
a)
√3/2
b)
1/2
c)
√2/2
d)
√3/3
98.
Choose the cosine value for the angle shown on the graph.
a)
√3/2
b)
1/2
c)
√3/3
d)
-1/2
99.
Choose the cosine value for the angle shown on the graph.
a)
√2/2
b)
1
c)
√3/2
d)
0
100.
What the coordinates of 180° on the unit circle?
a)
0, 1
b)
1, 0
c)
-1, 0
d)
0, -1
101.
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 )
102.
What the coordinates of 270° on the unit circle?
a)
0, 1
b)
1, 0
c)
-1, 0
d)
0, -1
103.
What are the coordinates of 60° on the unit circle?
a)
(0, 1)
b)
(1/2, √3/2)
c)
(√3/2, 1/2)
d)
(√2/2, 1/2)
104.
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)
105.
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
106.
What radian measure corresponds to the point 
a)
π/4
b)
3π/2
c)
5π/4
d)
7π/3
107.

What coordinate corresponds to

a)
b)
c)
d)
108.

What coordinate corresponds to

a)
b)
c)
d)
109.

What coordinate corresponds to

a)
b)
c)
d)
110.

What coordinate corresponds to

a)
b)
c)
d)
111.

What coordinate corresponds to

a)
b)
c)
d)
112.

What coordinate corresponds to

a)
b)
c)
d)
113.

What coordinate corresponds to

a)
b)
c)
d)
114.

What coordinate corresponds to

a)
b)
c)
d)
115.

What coordinate corresponds to

a)
b)
c)
d)
116.

What coordinate corresponds to

a)
b)
c)
d)
117.

What coordinate corresponds to

a)
b)
c)
d)
118.

What coordinate corresponds to

a)
b)
c)
d)
119.

What coordinate corresponds to

a)
b)
c)
d)
120.

What coordinate corresponds to

a)
b)
c)
d)
121.

What coordinate corresponds to

a)
b)
c)
d)
122.

What coordinate corresponds to

a)
b)
c)
d)
123.

What coordinate corresponds to

a)
b)
c)
d)
124.

What coordinate corresponds to

a)
b)
c)
d)
125.

What coordinate corresponds to

a)
b)
c)
d)
126.

What coordinate corresponds to

a)
b)
c)
d)
127.

What coordinate corresponds to

a)
b)
c)
d)
128.

What coordinate corresponds to

a)
b)
c)
d)
129.

What coordinate corresponds to

a)
b)
c)
d)
130.

What coordinate corresponds to

a)
b)
c)
d)
131.

What coordinate corresponds to

a)
b)
c)
d)
132.

What coordinate corresponds to

a)
b)
c)
d)
133.

What coordinate corresponds to

a)
b)
c)
d)
134.

What coordinate corresponds to

a)
b)
c)
d)
135.

What coordinate corresponds to

a)
b)
c)
d)
136.

What coordinate corresponds to

a)
b)
c)
d)
137.

What coordinate corresponds to

a)
b)
c)
d)
138.

What coordinate corresponds to

a)
b)
c)
d)
139.

What coordinate corresponds to

a)
b)
c)
d)