WorksheetsGraphing Trig Functions Review
Total questions: 27
Worksheet time: 50mins
Name
Class
Date
1.
Determine the equation
a)
tan x
b)
cot x
c)
sin x
d)
cot 2x
2.
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
3.
What is the equation of graph?
a)
y = sin 5x
b)
y = cos 5x
c)
y = 5 sin x
d)
y = 5 cos x
4.
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: [-∞, ∞]
5.
What is the amplitude of this function?
a)
2
b)
2π
c)
-2
d)
1
6.
What is the amplitude of the graph?
a)
1
b)
3
c)
6
d)
9
7.
what is the amplitude of y=3sin(7x)-2
a)
7
b)
-2
c)
3
d)
6
8.
which value represents amplitude in the function y = asin(bx-h) + k
a)
a
b)
b
c)
h
d)
k
9.
Which value represents the number of periods that occur in a normal unit circle cycle in the function y = asin(bx-h) + k
a)
a
b)
b
c)
h
d)
k
10.
Which value represents the horizontal phase shift in the function y = asin(bx-h) + k
a)
a
b)
b
c)
h
d)
k
11.
what is the period of y= -3sinx
a)
π
b)
2π
c)
3π
d)
4π
12.
What is the equation of this graph?
a)
y=cos2x
b)
y=2sin2x
c)
y=2cos2x
d)
y=2sinx
13.
What is an equation of the graph shown?
a)
y=cos1/2x
b)
y=cos2x
c)
y=sin 1/2 x
d)
y=sin2x
14.
What is the period?
a)
π/4
b)
π/2
c)
3π/4
d)
π
15.
What is the period?
a)
4π
b)
2π
c)
π
d)
8π
16.
What is the period of y=4cos5x
a)
2π/5
b)
π
c)
5
d)
5π
17.
Write the equation for a sine function with an amplitude of 6 and a period of π/4.
a)
y=6sin(8x)
b)
y=6sin8(x-1)
c)
y=6sin1/4x
d)
y=6sinx
18.
Which trig function does this graph represent?
a)
sin
b)
sec
c)
tan
d)
cot
19.
What is the phase shift?
y=-2sin(x-π)
y=-2sin(x-π)
a)
π left
b)
π right
c)
none
d)
2π right
20.
What is the period of this graph?
a)
2π
b)
π/2
c)
π/4
d)
π
21.
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
22.
Determine an equation for this graph:
a)
y=csc(x)
b)
y=sec(x)
c)
y=cot(x)
d)
y= tan(x)
23.
What is the period of y = 4Cos(2x)?
a)
4π
b)
π
c)
2π
d)
π/2
24.
Convert 100⁰ to radians
a)
5π/9
b)
π/2
c)
5π/8
d)
5π/6
25.
What is 90 degrees in radians?
a)
π/4
b)
π/2
c)
π/6
d)
3π/2
26.
What is 45 degrees in radians?
a)
π/2
b)
π/6
c)
π/4
d)
3π/4
27.
Convert π radians to degrees.
a)
90⁰
b)
180⁰
c)
360⁰
d)
60⁰
100 %
