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WorksheetsTrig for Algebra 2
Total questions: 57
Worksheet time: 30mins
Name
Class
Date
1.
What is this identity: Csc
a)
Cotangent
b)
Tangent
c)
Cosecant
d)
Sine
2.
How many Special right triangles are therein Trigonometry?
a)
2
b)
5
c)
4
d)
3
3.
What symbol is this? 
a)
beta
b)
psi
c)
Greek
d)
theta
4.
What is 2π/3 radians in degrees?
a)
150
b)
120
c)
180
d)
30
5.
What is 11π/6 radians in degrees?
a)
30
b)
330
c)
360
d)
300
6.
Convert π radians to degrees.
a)
90⁰
b)
180⁰
c)
360⁰
d)
60⁰
7.
Convert 150⁰ to radians
a)
5π/6
b)
3π/4
c)
7π/6
d)
2π/3
8.
Convert π/3 radians to degrees
a)
60⁰
b)
30⁰
c)
90⁰
d)
45⁰
9.
Convert π/4 radians to degrees
a)
90⁰
b)
45⁰
c)
60⁰
d)
30⁰
10.
How many degrees in a circle?
a)
180
b)
360
c)
90
d)
270
11.
Convert from degrees to radians: 135°
a)
2π ∕ 3
b)
3π ∕ 4
c)
5π ∕ 4
d)
3π ∕ 5
12.
What are the coordinates of 210° on the unit circle?
a)
(−√3/2, −1/2)
b)
(√3/2, −1/2)
c)
(−√3/2, 1/2)
d)
(−1/2,−√3/2 )
13.
What is a complete circle in radians?
a)
π
b)
2π
c)
1/2 π
d)
1
14.
What is 7π/4 radians in degrees?
a)
300
b)
135
c)
315
d)
45
15.
Convert 330⁰ to radians
a)
11π/6
b)
11π/3
c)
11π/9
d)
7π/6
16.
What is this formula?
a)
Area of a sector
b)
Pythagorean Theorem
c)
What?
d)
Arc Length
17.
The radius of a circle is the same as saying the distance around the circle?
a)
True
b)
False
18.
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
19.
Based on your unit circle sin(30o)=
a)
sqt2/2
b)
1/2
c)
1
d)
sqt3/2
20.
What is sin 45°?
a)
1
b)
√3/2
c)
½
d)
√2/2
21.
What is cos 60°?
a)
½
b)
√3/2
c)
√2/2
d)
1
22.
cos 90
a)
0
b)
1
c)
-1
d)
undefined
23.
sin 150
a)
-1/2
b)
-√3/2
c)
1/2
d)
√3/2
24.
At θ = 30°, what is the equivalent angle measure in radians?
a)
π/2
b)
π/3
c)
π/4
d)
π/6
25.
What is the angle measure, in degrees, at the red marking on the unit circle?
a)
30°
b)
45°
c)
60°
d)
90°
26.
What is the value of sine at 30
a)
1/2
b)
√3 / 2
c)
0
d)
√2 ⁄ 2
27.
a)
1
b)
-1
c)
0
d)
√2/2
28.
a)
½
b)
√2/2
c)
√3/2
d)
1
29.
What is a complete circle in radians?
a)
π
b)
2π
c)
1/2 π
d)
1
30.
What is the radius of the unit circle?
a)
0
b)
1
c)
1/2
d)
√2/2
31.
What is the value of sine at 210°?
a)
1/2
b)
-1/2
c)
√3 / 2
d)
-√3 / 2
32.
For what angles are sine and cosine the same?
a)
0o
b)
45o and 1350
c)
45o and 2250
d)
45o and 3150
33.
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
34.
Standard position is where on the x-y plane?
a)
The positive x-axis
b)
The negative x-axis
c)
The positive y-axis
d)
The negative y-axis
35.
How many radians in a full circle?
a)
π/2
b)
π
c)
3π/2
d)
2π
36.
Which way negative angles travel
a)
Clockwise
b)
Counter Clockwise
c)
I don't know
37.
Is 55 degrees and -45 degrees coterminal?
a)
No
b)
Yes
38.
Solve for the missing angle.
a)
45o
b)
90o
c)
22.5o
d)
128o
39.
What is the correct ratio?
a)
9/41
b)
40/41
c)
9/40
d)
40/9
40.
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
41.
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)
42.
FIND THE ARC LENGTH OF THE BOLDED ARC
a)
A
b)
B
c)
C
d)
D
43.
At θ = 30°, what is the equivalent angle measure in radians?
a)
π/2
b)
π/3
c)
π/4
d)
π/6
44.
What is the ratio for cosine?
a)
H/A
b)
O/A
c)
A/H
d)
A/O
45.
Which one is the easy way to learn trigonometric ratios?
a)
Sah Coh Toa
b)
Soh Cah Toa
c)
Soh Cah Tao
d)
Soh Ceh Toa
46.
Which is the ratio of the opposite leg to the hypotenuse in a right triangle?
a)
sine
b)
cosine
c)
tangent
d)
secant
47.
Which point is the center of the unit circle?
a)
(0,0)
b)
(1,1)
c)
(0,1)
d)
(1,0)
48.
What is the radius of the unit circle?
a)
1
b)
5
c)
10
d)
It depends
49.
Find the coordinates of the point P on the following unit circle.
a)
(√3/2, 1/2)
b)
(1/2, √3/2)
c)
(√3, 1/2)
d)
(1/√2, 1/√2)
50.
Find the value of the missing trigonometric ratio.
a)
1/2
b)
1/√3
c)
1/√2
d)
√2
51.
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
52.
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
53.
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
54.
In which quadrant would you find an angle measuring -740°
a)
1
b)
2
c)
3
d)
4
55.
Find secΘ.
a)
5/13
b)
13/5
c)
12/13
d)
13/12
56.
Find secΘ.
a)
17/15
b)
15/17
c)
8/17
d)
17/8
57.
What is the value of θ, theta, in degrees on the unit circle?
a)
30°
b)
45°
c)
60°
d)
90°
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