WorksheetsTrig Ratios, Radians, and the Unit Circle
Total questions: 20
Worksheet time: 2hrs 40mins
Name
Class
Date
1.
What is the radius of a unit circle?
a)
1
b)
2
c)
1/2
d)
0
2.
Convert π radians to degrees.
a)
90⁰
b)
180⁰
c)
360⁰
d)
60⁰
3.
Tangent is...
a)
a. Opposite/Adjacent
b)
b. Opposite/Hypotenuse
c)
c. neither a or b
d)
d. both a and b
4.
Convert π/3 radians to degrees
a)
60⁰
b)
30⁰
c)
90⁰
d)
45⁰
5.
1/Tan x =
a)
cos x
b)
csc x
c)
sec x
d)
cot x
6.
Find the missing side u
a)
2√3
b)
4
c)
8
d)
4√3
7.
Give the Ratio for SIN X
a)
opp/adj
b)
Adj/hyp
c)
Opp/hyp
d)
adj/opp
8.
Give the Ratio for COS X
a)
Adj/Hyp
b)
Opp/Adj
c)
Adj/Opp
d)
Opp/Hyp
9.
Find the missing angle indicated by
θ
θ
a)
21.80
b)
23.57
c)
66.4
d)
69.8
10.
How do you know which side is the OPPOSITE?
a)
It is next to the right angle
b)
It is opposite the right angle
c)
It is opposite the theta
d)
It is the bottom leg of the triangle
11.
Identify the angle that is coterminal to −60°
a)
180°
b)
60°
c)
300°
12.
Based on the unit circle, what is the value of sin?
a)
y
b)
x
c)
x/y
d)
y/x
13.
Based on the unit circle, what is the value of cos?
a)
y
b)
x
c)
x/y
d)
y/x
14.
If you are given the hypotenuse and an adjacent side, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
d)
cotangent
15.
Cosecant is the reciprocal of what function?
a)
Secant
b)
Sine
c)
Cosine
d)
Tangent
16.
Cotangent is the reciprocal of what function?
a)
Cosecant
b)
Sine
c)
Cosine
d)
Tangent
17.
π
a)
180 °
b)
180
c)
360 °
d)
360
18.
23π
a)
270°
b)
270
c)
90°
d)
360°
19.
How many radians does a circle have?
a)
360 degrees
b)
2pi radians
c)
pi radians
d)
2 radians
20.
Convert 150⁰ to radians
a)
5π/6
b)
3π/4
c)
7π/6
d)
2π/3
100 %
