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Worksheets🐚10th IV 6 unit circle
Total questions: 27
Worksheet time: 40mins
Name
Class
Date
1.
Convert 150⁰ to radians
a)
5π/6
b)
3π/4
c)
7π/6
d)
2π/3
2.
sin 7π/6
a)
1/2
b)
-1/2
c)
√3/2
d)
-√3/2
3.
tan (-π)
a)
undefined
b)
0
c)
1
d)
-1
4.

*
a)
csc x
b)
sec x
c)
cot x
d)
tan x
5.
sin π/4
a)
√2∕2
b)
1/2
c)
√3/2
d)
0
6.
cos 5π/6
a)
-1/2
b)
1/2
c)
√3/2
d)
-√3/2
7.
What is the value of sine at 150
a)
0
b)
1/2
c)
1
d)
√3 / 2
8.
What is half a circle in radians?
a)
π/4
b)
π
c)
2π
d)
π/2
9.
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)
10.
cos (π/4)
a)
√3/2
b)
√2/2
c)
1/2
d)
1
11.
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)
12.
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
13.
What is cos 90°?
a)
½
b)
undefined
c)
1
d)
0
14.
What is tan 45°?
a)
1
b)
√2/2
c)
√3/2
d)
½
15.
cos 4π/3
a)
-√3/2
b)
√3/2
c)
1/2
d)
-1/2
16.
cosx is positive in
a)
the 1st and 2nd quadrants
b)
the 1st and 3rd quadrants
c)
the 2nd and 3rd quadrants
d)
the 1st and 4th quadrants
17.
Exact value of sin45°
a)
21
b)
22
c)
23
d)
3
18.
Exact value of cos540°
a)
21
b)
22
c)
23
d)
-1
19.
Exact value of cos(−300°)
a)
21
b)
22
c)
23
d)
−23
20.
What is the reference angle for 125°?
a)
235°
b)
125°
c)
75°
d)
55°
21.
What is the reference angle for -310⁰?
a)
50⁰
b)
-50⁰
c)
20⁰
d)
40⁰
22.
If θ is an angle in Quadrant IV, which trig ratios will be positive
a)
sin θ
b)
cos θ
c)
tan θ
d)
cos θ and tan θ
23.
Using reference angles find the cot 120o.
a)
-√3/3
b)
√3/3
c)
2
d)
-2
24.
What is cos 60°?
a)
½
b)
√3/2
c)
√2/2
d)
1
25.
What is sin 30°?
a)
√3/2
b)
1
c)
½
d)
√2/2
26.
How many degrees is π/4 radians?
a)
30°
b)
45°
c)
60°
d)
90°
27.
What is the value of sine at 210?
a)
1/2
b)
-1/2
c)
√3 / 2
d)
-√3 / 2
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