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WorksheetsTrig Test Review
Total questions: 85
Worksheet time: 6hrs 46mins
Name
Class
Date
1.
What type of special triangle is this?
a)
45°-45°-90°
b)
30°-60°-90°
c)
Isosceles
d)
Obtuse
2.
Find x.
a)
4
b)
2
c)
√3
d)
2√2
3.
Find x.
a)
12
b)
√2
c)
√3
d)
6
4.
In this 45-45-90 triangle, I have been given a leg, so to find the other leg I...
a)
Multiply that leg by 2
b)
Use the same length for the second leg
c)
Multiply that leg by √2
d)
Divide that leg by √2
5.
What is the length of y in this picture?
a)
45
b)
5√2
c)
90
d)
5
6.
In this 45-45-90 triangle, I have been given the length of a leg. How do I find the length of the hypotenuse?
a)
It is the same length as the given leg.
b)
Multiply that leg's length by √2.
c)
Multiply that leg's length by 2.
d)
Divide that leg's length by √2.
7.
What is the length of x in this 45-45-90 triangle?
a)
4√2
b)
4
c)
8
d)
4√3
8.
I have been given a hypotenuse in this 45-45-90 triangle. How do I find the length of a leg of the triangle?
a)
Multiply by √2
b)
Divide by √2
c)
It's the same length as the hypotenuse.
d)
Divide by 2
9.
What is the length of y in this 45-45-90 triangle?
a)
8√2
b)
4√2
c)
4
d)
8
10.
Which side is the long leg in this 30-60-90 triangle?
a)
4
b)
u
c)
v
11.
Which side is the short leg of this 30-60-90 triangle?
a)
6
b)
m
c)
n
12.
I have been given the short leg in this 30-60-90 triangle. How do I find the long leg?
a)
Multiply 4 by 2
b)
Multiply 4 by √3
c)
Multiply 4 by √2
d)
Divide 4 by 2
13.
I have been given the short leg in this 30-60-90 triangle. How do I find the length of the hypotenuse?
a)
Multiply 4 by 2
b)
Multiply 4 by √3
c)
Multiply 4 by √2
d)
Divide 4 by √3
14.
I have been given the hypotenuse in this 30-60-90 triangle. How do I find the short leg?
a)
Multiply 6 by 2
b)
Multiply 6 by √3
c)
Divide 6 by 2
d)
Divide 6 by √3
15.
What is the length of u and v in this 30-60-90 triangle?
a)
u = 8 v = 4√3
b)
u = 4√2 v = 8
c)
u = 16 v = 8
d)
u = 4√3 v = 8
16.
I have been given the long leg in this 30-60-90 triangle. How do I find the short leg?
a)
Multiply 7 by 2
b)
Multiply 7 by √3
c)
Divide 7 by 2
d)
Divide 7 by √3
17.
What are x and y in this 30-60-90 triangle?
a)
x = 6 y = 3√3
b)
x = 1.5√3 y =1.5
c)
x = 3√3 y = 6
d)
x = √3 y = 2√3
18.
What are x and y in this 30-60-90 triangle?
a)
x = 6 y = 3√3
b)
x = 3√2 y = 3
c)
x = 3√3 y = 6
d)
x = 3√3 y = 3√2
19.
What are a and b in this 30-60-90 triangle?
a)
b=3.5√3 a = 7√3
b)
b = 7 a = 7√2
c)
b = 7 a = 14
d)
b = 7√3 a = 14√3
20.
What is the acronym to help you remember the ratios to use in trigonometry?
a)
RIGHTANG
b)
SOHCAHTOA
c)
SHOCHATOA
21.
What leg is considered the hypotenuse?
a)
Any side
b)
the side opposite the smallest angle
c)
the side opposite the right angle
d)
the side opposite the shortest leg
22.
What does SOH stand for
a)
hypotenuse over opposite
b)
adjacent over opposite
opposite over adjacent
opposite over adjacent
c)
opposite over hypotenuse
d)
adjacent over adjacent
23.
What is the ratio for cosine?
a)
H/A
b)
O/A
c)
A/H
d)
A/O
24.
What is the ratio for sine?
a)
O/H
b)
H/A
c)
H/O
d)
O/A
25.
Set up the problem.
a)
sin(47) = x/28
b)
cos(47) = x/28
c)
tan(47) = x/28
d)
cos(47) = 28/x
26.
Which Trig function do you use?
a)
Sine
b)
Cosine
c)
Tangent
27.
What is the length of side x?
a)
6.57 cm
b)
7 cm
c)
7.44 cm
d)
26.33 cm
28.
Solve for x.
a)
24.20
b)
4.92
c)
290.4
d)
29.75
29.
Which Trig function do you use?
a)
Sine
b)
Cosine
c)
Tangent
30.
What would you use to solve for a?
a)
sin
b)
cos
c)
tan
d)
Pythagorean theorem
31.
What is the correct ratio?
a)
sin 40 = w/28
b)
cos 40 = w/28
c)
tan 40 = w/28
d)
sin 40 = 28/w
32.
Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree.
a)
63 ft
b)
65 ft
c)
74 ft
d)
87 ft
33.
Cotangent is the reciprocal of what function?
a)
Cosecant
b)
Sine
c)
Cosine
d)
Tangent
34.
What is the reference angle for 240 degrees?
a)
60 degrees
b)
30 degrees
c)
45 degrees
d)
210 degrees
35.
Find the reference angle for an angle measuring -300⁰
a)
60⁰
b)
-60⁰
c)
30⁰
d)
45⁰
36.
Find a coterminal angle to -180 degrees.
a)
180
b)
90
c)
270
d)
360
37.
What is the reference angle for 30 degrees?
a)
70 degrees
b)
30 degrees
c)
150 degrees
d)
330 degrees
38.
What is the reference angle for -30 degrees?
a)
150 degrees
b)
30 degrees
c)
80 degrees
d)
60 degrees
39.
Standard position is when .....
a)
the initial side of the angle is on the positive x-axis.
b)
the initial side of the angle is on the negative x-axis.
c)
the initial side of the angle is on the positive y-axis.
d)
the initial side of the angle is on the negative y-axis.
40.
Negative angles are measured in which direction from standard position?
a)
Clockwise
b)
Counterclockwise
41.
Positive angles are measured in which direction from standard position?
a)
Clockwise
b)
Counterclockwise
42.
In which quadrant is -570⁰
a)
I
b)
II
c)
III
d)
IV
43.
In which quadrant would you find an angle measuring -700°?
a)
1
b)
2
c)
3
d)
4
44.
-500o is in which quadrant?
a)
I
b)
II
c)
III
d)
IV
45.
Convert π radians to degrees.
a)
90⁰
b)
180⁰
c)
360⁰
d)
60⁰
46.
Convert 150⁰ to radians
a)
5π/6
b)
3π/4
c)
7π/6
d)
2π/3
47.
Convert π/3 radians to degrees
a)
60⁰
b)
30⁰
c)
90⁰
d)
45⁰
48.
Convert π/4 radians to degrees
a)
90⁰
b)
45⁰
c)
60⁰
d)
30⁰
49.
Convert 100⁰ to radians
a)
5π/9
b)
π/2
c)
5π/8
d)
5π/6
50.
What is 7π/4 radians in degrees?
a)
300
b)
135
c)
315
d)
45
51.
What is 4π/3 radians in degrees?
a)
120
b)
240
c)
210
d)
270
52.
Which of the following is closest to the measure of the angle shown?
a)
30º
b)
40º
c)
395º
d)
440º
53.
What is the reference angle?
a)
115
b)
65
c)
25
d)
155
54.
What is the degree measure of this angle?
a)
-230o
b)
-590o
c)
-490o
d)
590o
55.
What is the value of sin180°?
a)
1
b)
-1
c)
0
d)
undefined
56.
sin π/4
a)
√2∕2
b)
1/2
c)
√3/2
d)
0
57.
cos 5π/6
a)
-1/2
b)
1/2
c)
√3/2
d)
-√3/2
58.
cos 4π/3
a)
-√3/2
b)
√3/2
c)
1/2
d)
-1/2
59.
sin 7π/6
a)
1/2
b)
-1/2
c)
√3/2
d)
-√3/2
60.
sin 2π/3
a)
1/2
b)
-1/2
c)
√3/2
d)
-√3/2
61.
What is the radius of a unit circle?
a)
1
b)
2
c)
1/2
d)
0
62.
What the coordinates of 180° on the unit circle?
a)
0, 1
b)
1, 0
c)
-1, 0
d)
0, -1
63.
sin 270o
a)
0
b)
1
c)
-1
d)
und
64.
cos 900o
a)
1
b)
0
c)
-1
d)
und
65.
Sine or Cosine?
a)
y=sinx
b)
y=cosx
66.
Sine or Cosine?
a)
y=sinx
b)
y=cosx
67.
The __________ represents half the distance between the max and min of a sine or cosine graph.
a)
Period
b)
Frequency
c)
Extreme Values
d)
Amplitude
68.
The period of a sine or cosine graph can be found by ....
a)
It's always 2π
b)
2π/B
c)
B(2π)
d)
2π+B
69.
What is the domain and range of y=sinx?
a)
D: (-∞, ∞)
R: [-1, 1]
R: [-1, 1]
b)
D: (-∞, ∞)
R: [-π, π]
R: [-π, π]
c)
D: (∞, -∞)
R: [-1, 1]
R: [-1, 1]
d)
D: (-∞, ∞)
R: [-∞, ∞]
R: [-∞, ∞]
70.
What is the equation of the graph?
a)
y = 2 cos x
b)
y = sin x
c)
y = 2 sin x
d)
y = sin 2x
71.
What is the equation of graph?
a)
y = sin 5x
b)
y = cos 5x
c)
y = 5 sin x
d)
y = 5 cos x
72.
What is the amplitude of the graph?
a)
-2
b)
2
c)
4
d)
-4
73.
What is the period of
y= 4 cos (5x)
y= 4 cos (5x)
a)
2π/5
b)
π
c)
5
d)
5π
74.
What is the period of
y= -3 sin(x)
y= -3 sin(x)
a)
π
b)
2π
c)
3π
d)
4π
75.
What is the amplitude of
y = 3 cos 2x?
y = 3 cos 2x?
a)
3
b)
2
c)
90⁰
d)
350⁰
76.
Describe the shift: cos(x-(π/4))
a)
Up π
b)
Down (π/4)
c)
Left (π/4)
d)
Right (π/4)
77.
The period of a function is
a)
how long one cycle is before the function repeats
b)
how high and low the function goes from the center line
c)
the range of the function
78.
Amplitude refers to....
a)
how high and low the function varies from the center line.
b)
the length of the function
c)
how often the function repeats
79.
Which value represents a vertical shift in the following function y=a*sin(bx - c)+d?
a)
a
b)
b
c)
c
d)
d
80.
What is the period of
y= -3sin(x)
y= -3sin(x)
a)
π
b)
2π
c)
3π
d)
4π
81.
What is the period of
y=cos(3x - π) - 5?
y=cos(3x - π) - 5?
a)
π/3
b)
π/6
c)
2π/3
d)
2π/6
82.
What equation is shown here?
a)
y = sin (1/2)x
b)
y = sin x
c)
y = cos (1/2) x
d)
y = cos x
83.
What equation is shown here?
a)
y = sin (1/3)x
b)
y = sin 6x
c)
y = cos (1/3)x
d)
y = cos 6x
84.
Write a sin function with amplitude 8, midline 3, and period of 10π
a)
b)
c)
d)
85.
What is the midline
a)
7
b)
6
c)
5
d)
4
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