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WorksheetsUnit Circle: Evaluating Trig
Total questions: 70
Worksheet time: 7hrs 40mins
Name
Class
Date
1.
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
2.
The hypotenuse of any right triangle from the center of the unit circle to an edge is always
a)
1
b)
sqt2/2
c)
sqt3/2
d)
1/2
3.
For what angles are sine and cosine the same?
a)
0o
b)
45o and 1350
c)
45o and 2250
d)
45o and 3150
4.
What is half a circle in radians?
a)
π/4
b)
π
c)
2π
d)
π/2
5.
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)
6.
What the coordinates of 180° on the unit circle?
a)
0, 1
b)
1, 0
c)
-1, 0
d)
0, -1
7.
4π/3 is equal to how many degrees?
a)
60°
b)
240°
c)
300°
d)
120°
8.
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)
9.
π/4=?
a)
45°
b)
210°
c)
150°
d)
135°
10.
5π/6=?
a)
135°
b)
150°
c)
330°
d)
315°
11.
7π/6=?
a)
300°
b)
30°
c)
120°
d)
210°
12.
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)
13.
What quadrant does 21π/4 lie in?
a)
Quadrant 1
b)
Quadrant 2
c)
Quadrant 3
d)
Quadrant 4
14.
sin π/4
a)
√2∕2
b)
1/2
c)
√3/2
d)
0
15.
tan 7π/4
a)
-1
b)
1
c)
√2/2
d)
undefined
16.
cot 3π/4
a)
-√2/2
b)
-1
c)
1
d)
√2/2
17.
sin 2π/3
a)
1/2
b)
-1/2
c)
√3/2
d)
-√3/2
18.
tan (-π)
a)
undefined
b)
0
c)
1
d)
-1
19.
cos(5π/3)
a)
√3/2
b)
-√3/2
c)
1/2
d)
-1/2
e)
√2/2
20.
cos(11π/6)
a)
√3/2
b)
-√3/2
c)
1/2
d)
-1/2
e)
√2/2
21.
Based on your unit circle cos(0o)=
a)
1
b)
0
c)
-1
d)
1/2
22.
cos -2π/3
a)
-√3/2
b)
√3/2
c)
1/2
d)
-1/2
23.
sin 31π/6
a)
1/2
b)
-1/2
c)
√3/2
d)
-√3/2
24.
cot 9π/2
a)
undefined
b)
0
c)
1
d)
1/2
25.
sin(13π/4)
a)
√3/2
b)
√2/2
c)
1/2
d)
-1/2
e)
-√2/2
26.
cos(-17π/6)
a)
√3/2
b)
√2/2
c)
1/2
d)
-1/2
e)
-√3/2
27.
sin(9π/4)
a)
√3/2
b)
-√3/2
c)
1/2
d)
-1/2
e)
√2/2
28.
sin(13π/3)
a)
√3/2
b)
-√3/2
c)
1/2
d)
-1/2
e)
√2/2
29.
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
30.
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
31.
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
32.
cos 5π/6
a)
-1/2
b)
1/2
c)
√3/2
d)
-√3/2
33.
cos 4π/3
a)
-√3/2
b)
√3/2
c)
1/2
d)
-1/2
34.
sin 7π/6
a)
1/2
b)
-1/2
c)
√3/2
d)
-√3/2
35.
cos(π)=
a)
0
b)
1
c)
-1
d)
1/2
36.
sin(5π/3)=
a)
1/2
b)
-√3/2
c)
√3/2
d)
-1/2
37.
sin(π/6)
a)
1/2
b)
√2/2
c)
√3/2
d)
2
38.
sin(3π/2)
a)
0
b)
1
c)
-1
d)
1/2
39.
cos(5π/6)
a)
1/2
b)
-√3/2
c)
√3/2
d)
-1/2
40.
sin(7π/4)
a)
1/2
b)
-√2/2
c)
√2/2
d)
-1/2
41.
tan 7π/4
a)
-1
b)
1
c)
√2/2
d)
undefined
42.
Evaluate: tan(11π/6)
a)
-1/√3
b)
√3
c)
1/√3
d)
-√3
43.
cos π/3 =
a)
0
b)
1/2
c)
√3/2
d)
undefined
44.
cos (π/4)
a)
√3/2
b)
√2/2
c)
1/2
d)
1
45.
cos (π/6)
a)
√3/2
b)
√2/2
c)
1/2
d)
1
46.
sin(π/3)
a)
√3/2
b)
√2/2
c)
1/2
d)
1
47.
sin π/4
a)
√2∕2
b)
1/2
c)
√3/2
d)
0
48.
cot π/2
a)
undefined
b)
0
c)
1
d)
1/2
49.
sin(3π/2)
a)
0
b)
1
c)
-1
d)
1/2
50.
sin(π/6)
a)
1/2
b)
√2/2
c)
√3/2
d)
2
51.
sin (π/2)
a)
√3/2
b)
√2/2
c)
1/2
d)
1
52.
cos(7π/6)
a)
-√2/2
b)
1/2
c)
√3/2
d)
-√3/2
53.
sin(11π/6)
a)
-1/2
b)
1/2
c)
√3/2
d)
-√3/2
54.
cos(5π/4)
a)
-1/2
b)
√3/2
c)
√2/2
d)
-√2/2
55.
tan(5π/4)
a)
-1
b)
Und
c)
1
d)
-√2 /2
56.
tan(5π/3)
a)
-√3
b)
1
c)
-1
d)
-√3 /3
57.
cos(4π/3)
a)
-√2 /2
b)
-√3 /2
c)
√3 /2
d)
-1/2
58.
sin(5π/4)
a)
-√3 /2
b)
√3
c)
√2 /2
d)
-√2 /2
59.
sin(0)
a)
0
b)
1
c)
Und
d)
-1/2
60.
cos(0)
a)
0
b)
1
c)
Und
d)
-√2 /2
61.
tan(π/6)
a)
-√3 /2
b)
√3
c)
1
d)
√3 /3
62.
sin(4π/3)
a)
√3 /2
b)
1/2
c)
-√2 /2
d)
-√3 /2
63.
tan(π/2)
a)
√3 /2
b)
0
c)
1
d)
Und
64.
tan(3π/2)
a)
-1
b)
Und
c)
0
d)
1
65.
cos(π/4)
a)
-√2 /2
b)
√2 /2
c)
1/2
d)
√3 /2
66.
cos(π/3)
a)
-√2 /2
b)
√2 /2
c)
1/2
d)
√3 /2
67.
sin(π/2)
a)
1
b)
0
c)
1/2
d)
√3 /2
68.
cos(3π/2)
a)
-1
b)
Und
c)
√3 /2
d)
0
69.
tan(π)
a)
-1
b)
Und
c)
1
d)
0
70.
tan(2π/3)
a)
1
b)
-√3 /2
c)
√3 /2
d)
-√3
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