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WorksheetsTrig - Unit Circle
Total questions: 20
Worksheet time: 2hrs 40mins
Name
Class
Date
1.
sin π/4
a)
√2∕2
b)
1/2
c)
√3/2
d)
0
2.
sec 3π/2
a)
0
b)
undefined
c)
1
d)
-1
3.
cos 5π/6
a)
-1/2
b)
1/2
c)
√3/2
d)
-√3/2
4.
tan 7π/4
a)
-1
b)
1
c)
√2/2
d)
undefined
5.
cos 4π/3
a)
-√3/2
b)
√3/2
c)
1/2
d)
-1/2
6.
cot 3π/4
a)
-√2/2
b)
-1
c)
1
d)
√2/2
7.
sin 7π/6
a)
1/2
b)
-1/2
c)
√3/2
d)
-√3/2
8.
cot π/2
a)
undefined
b)
0
c)
1
d)
1/2
9.
sin 2π/3
a)
1/2
b)
-1/2
c)
√3/2
d)
-√3/2
10.
tan (-π)
a)
undefined
b)
0
c)
1
d)
-1
11.
Convert 150⁰ to radians
a)
5π/6
b)
3π/4
c)
7π/6
d)
2π/3
12.
What is 7π/4 radians in degrees?
a)
300
b)
135
c)
315
d)
45
13.
What quadrant is -2π/3 in?
a)
I
b)
II
c)
III
d)
IV
14.
tanθ 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
15.
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
16.
Based on the unit circle, what is the value of sin?
a)
y
b)
x
c)
x/y
d)
y/x
17.
Based on the unit circle, what is the value of cos?
a)
y
b)
x
c)
x/y
d)
y/x
18.
Based on the unit circle, what is the value of tan?
a)
y/r
b)
x/r
c)
r/y
d)
y/x
19.
Find sin(-240°)
a)
(√3)/2)
b)
(-1/2)
c)
(√2/2)
d)
(1/2)
20.
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
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