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WorksheetsUnit Circle Prep
Total questions: 92
Worksheet time: 1hrs 14mins
Name
Class
Date
1.
sin π/4
a)
√2∕2
b)
1/2
c)
√3/2
d)
0
2.
cos 5π/6
a)
-1/2
b)
1/2
c)
√3/2
d)
-√3/2
3.
cos 4π/3
a)
-√3/2
b)
√3/2
c)
1/2
d)
-1/2
4.
sin 2π/3
a)
1/2
b)
-1/2
c)
√3/2
d)
-√3/2
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.
a)
-√3/2
b)
-½
c)
-√2/2
d)
-1
7.
a)
1
b)
-1
c)
0
d)
√2/2
8.
a)
√3/3
b)
√3
c)
1
d)
undefined
9.
a)
-1
b)
0
c)
undefined
d)
√3
10.
a)
½
b)
√2/2
c)
√3/2
d)
1
11.
cos(60°)
a)
0
b)
1/2
c)
√3/2
d)
1
12.
cos 150o
a)
-1/2
b)
1/2
c)
√3/2
d)
-√3/2
13.
sin 7π/6
a)
1/2
b)
-1/2
c)
√3/2
d)
-√3/2
14.
What is the radius of a unit circle?
a)
1
b)
2
c)
1/2
d)
0
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.
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
17.
What is sin 45°?
a)
1
b)
√3/2
c)
½
d)
√2/2
18.
sin π/4
a)
√2∕2
b)
1/2
c)
√3/2
d)
0
19.
cos 5π/6
a)
-1/2
b)
1/2
c)
√3/2
d)
-√3/2
20.
sin 2π/3
a)
1/2
b)
-1/2
c)
√3/2
d)
-√3/2
21.
cos(π)=
a)
0
b)
1
c)
-1
d)
1/2
22.
cos (π/4)
a)
√3/2
b)
√2/2
c)
1/2
d)
1
23.
Which quadrant is angle -13π/4 in?
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
Quadrant IV
24.
Which angle is coterminal to 2π/3?
a)
-2π/3
b)
8π/3
c)
2π
d)
4π/3
25.
What is the measure of the quadrantal angle sin π/2?
a)
0
b)
1
c)
Undefined
d)
1/2
26.
Select ALL trig functions that use x-values
a)
sin
b)
cos
c)
tan
d)
cot
e)
sec
27.
Check ALL that are negative in Quad IV
a)
tan
b)
csc
c)
sec
d)
cot
28.
sec 3π/2
a)
0
b)
undefined
c)
1
d)
-1
29.
cot 3π/4
a)
-√2/2
b)
-1
c)
1
d)
√2/2
30.
cot π/2
a)
undefined
b)
0
c)
1
d)
1/2
31.
sin 7π/6
a)
1/2
b)
-1/2
c)
√3/2
d)
-√3/2
32.
tan (-π)
a)
undefined
b)
0
c)
1
d)
-1
33.
cos 5π/6
a)
-1/2
b)
1/2
c)
√3/2
d)
-√3/2
34.
What is the reciprocal of the sine function?
a)
cosecant
b)
cosine
c)
secant
d)
cotangent
35.
tan 7π/4
a)
-1
b)
1
c)
√2/2
d)
undefined
36.
cos 4π/3
a)
-√3/2
b)
√3/2
c)
1/2
d)
-1/2
37.
sin 2π/3
a)
1/2
b)
-1/2
c)
√3/2
d)
-√3/2
38.
For what angles are sine and cosine the same?
a)
0o
b)
45o and 1350
c)
45o and 2250
d)
45o and 3150
39.
Based on your unit circle sin(0o)=
a)
1
b)
-1
c)
0
d)
1/2
40.
Based on your unit circle cos(0o)=
a)
1
b)
0
c)
-1
d)
1/2
41.
cos 5π/6
a)
-1/2
b)
1/2
c)
√3/2
d)
-√3/2
42.
sin 2π =
a)
0
b)
1
c)
-1
d)
π
43.
cos 2π =
a)
0
b)
1
c)
-1
d)
22
44.
sin π =
a)
1
b)
0
c)
-1
d)
22
45.
cos π =
a)
-1
b)
0
c)
1
d)
π
46.
sin 23π =
a)
1
b)
0
c)
-1
d)
2
47.
cos 23π =
a)
1
b)
0
c)
-1
d)
π
48.
a)
7π/6
b)
5π/6
c)
5π/6
d)
11π/6
49.
a)
4π/3
b)
7π/6
c)
3π/4
d)
5π/4
50.
a)
π/2
b)
π/3
c)
π/4
d)
π/6
51.
a)
3π/2
b)
5π/3
c)
5π/4
d)
7π/3
52.
a)
5π/3
b)
7π/4
c)
4π/3
d)
5π/6
53.
a)
7π/4
b)
5π/4
c)
11π/6
d)
5π/3
54.
a)
π/2
b)
π/3
c)
π/4
d)
π/6
55.
a)
4π/3
b)
3π/4
c)
2π/3
d)
5π/4
56.
a)
5π/6
b)
7π/4
c)
10π/6
d)
11π/6
57.
a)
3π/4
b)
5π/6
c)
5π/4
d)
7π/6
58.
a)
π/2
b)
π/3
c)
π/4
d)
π/6
59.
a)
4π/3
b)
π/2
c)
3π/2
d)
7π/6
60.
a)
2π/4
b)
3π/4
c)
5π/6
d)
7π/6
61.
a)
π/2
b)
π/8
c)
π/6
d)
π/4
62.
tan 7π/4
a)
-1
b)
1
c)
√2/2
d)
undefined
63.
cos 4π/3
a)
-√3/2
b)
√3/2
c)
1/2
d)
-1/2
64.
sin 7π/6
a)
1/2
b)
-1/2
c)
√3/2
d)
-√3/2
65.
What is a complete circle in radians?
a)
π
b)
2π
c)
1/2 π
d)
1
66.
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)
67.
What radian measure corresponds to the point
a)
π/4
b)
3π/2
c)
5π/4
d)
7π/3
68.
cos 5π/6
a)
-1/2
b)
1/2
c)
√3/2
d)
-√3/2
69.
sin 2π/3
a)
1/2
b)
-1/2
c)
√3/2
d)
-√3/2
70.
Cot(7π/4) = ?
a)
-1
b)
1
c)
-√2
d)
√2
71.
Sec(π/3) = ?
a)
1/2
b)
√(3)/2
c)
2
d)
√3
72.
a)
-1
b)
0
c)
undefined
d)
√3
73.
a)
√3/3
b)
√3
c)
1
d)
undefined
74.
sin 2π/3
a)
1/2
b)
-1/2
c)
√3/2
d)
-√3/2
75.
cos 4π/3
a)
-√3/2
b)
√3/2
c)
1/2
d)
-1/2
76.
cos 5π/6
a)
-1/2
b)
1/2
c)
√3/2
d)
-√3/2
77.
tan(3π/2)
a)
-1
b)
UND
c)
√2
d)
-√3/3
78.
tan(11π/6)
a)
- √3/2
b)
-1
c)
-√3
d)
-√3/3
79.
sin 5π/6
a)
√3/2
b)
-√3/2
c)
1/2
d)
-1/2
80.
tan 4π/3
a)
√3
b)
-√3
c)
-√3/3
d)
√3/3
81.
sec π/2
a)
undef
b)
0
c)
1
d)
-1
82.
cot π/4
a)
-1
b)
-√3
c)
√3
d)
1
83.
Select ALL angles that have a negative sin
a)
120
b)
180
c)
225
d)
300
84.
Q: Mary’s father has 5 daughters – Nana, Nene, Nini, Nono. What is the fifth daughter's name?
a)
Nunu
b)
Dazlyn
c)
Mary
d)
Janet
85.
*
a)
csc x
b)
sec x
c)
cot x
d)
tan x
86.
Evaluate: csc(3π/4)
a)
√2/2
b)
-√2/2
c)
√2
d)
-√2
87.
cos(2π)
a)
1
b)
0
c)
undefined
d)
-1
88.
tan(3π/2)
a)
1
b)
0
c)
undefined
d)
-1
89.
sin(3π/2)
a)
1
b)
0
c)
undefined
d)
-1
90.
cos(π)
a)
1
b)
0
c)
undefined
d)
-1
91.
tan(π/2)
a)
1
b)
0
c)
-1
d)
und
92.
tan(0)
a)
1
b)
0
c)
und
d)
-1
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