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WorksheetsUnit Circle: Worksheet 1
Total questions: 21
Worksheet time: 39mins
Name
Class
Date
1.
Which of the following is true about the unit circle?
a. The center of the circle is at the origin
b. the radius of the circle is 1 unit
a)
a
b)
b
c)
both a and b
d)
neither a nor b
2.
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)
3.
sinθ is positive in
a)
the 1st and 2nd quadrants
b)
the 1st and 3rd quadrants
c)
the 1st and 4th quadrants
d)
the 2nd and 3rd quadrants
4.
cosθ is positive in
a)
the 1st and 2nd quadrants
b)
the 1st and 3rd quadrants
c)
the 1st and 4th quadrants
d)
the 2nd and 3rd quadrants
5.
What is sin 45°?
a)
1
b)
√3/2
c)
½
d)
√2/2
6.
What is sin 45°?
a)
1
b)
√3/2
c)
½
d)
√2/2
7.
What is cos 30°?
a)
√3/2
b)
½
c)
√2/2
d)
1
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 cos 90°?
a)
½
b)
undefined
c)
1
d)
0
10.
sin π/4
a)
√2∕2
b)
1/2
c)
√3/2
d)
0
11.
sin π/4
a)
√2∕2
b)
1/2
c)
√3/2
d)
0
12.
cos 5π/6
a)
-1/2
b)
1/2
c)
√3/2
d)
-√3/2
13.
tan 7π/4
a)
-1
b)
1
c)
√2/2
d)
undefined
14.
cos 4π/3
a)
-√3/2
b)
√3/2
c)
1/2
d)
-1/2
15.
sin 7π/6
a)
1/2
b)
-1/2
c)
√3/2
d)
-√3/2
16.
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)
17.
Evaluate cos (150o).
a)
-1/2
b)
1/2
c)
√3/2
d)
-√3/2
18.
The cosine of any angle on the unit circle is the y-coordinate.
a)
True
b)
False
19.
cos 225⁰
a)
-√3/2
b)
√3/2
c)
√2/2
d)
-√2/2
20.
What is 7π/4 radians in degrees?
a)
300
b)
135
c)
315
d)
45
21.
Convert 150⁰ to radians
a)
5π/6
b)
3π/4
c)
7π/6
d)
2π/3
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