WorksheetsGraphs of Trig. Functions
Total questions: 25
Worksheet time: 44mins
Name
Class
Date
1.
Sine or Cosine?
a)
y=sinx
b)
y=cosx
2.
Sine or Cosine?
a)
y=sinx
b)
y=cosx
3.
What is the period?
a)
4π
b)
2π
c)
π
d)
8π
4.
What is the phase shift (aka horizontal shift)?
y=-2sin(x-π)
a)
π left
b)
π right
c)
none
d)
2π right
5.
What is the phase shift (aka horizontal shift)?
y = 3cos(2x)
a)
π
b)
2π
c)
1/2π
d)
none
6.
What is the range?
y = 3cos(2x)
a)
(-3,3)
b)
[-2,2]
c)
[-3,3]
d)
[3,-3]
7.
Which equation?
a)
y= sin(1/3x)
b)
y= (1/3)sinx
c)
y= 3sinx
d)
y= sin(3x)
8.
Which equation?
a)
y= cos2x
b)
y= (1/2)cosx
c)
y= cos(1/2)x
d)
y= 2cosx
9.
Which equation?
a)
y= -cos(2x)
b)
y= cos(2x)
c)
y= (1/2)cosx
d)
y= (-1/2)cosx
10.
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
11.
Which function below matches this graph?
a)
1/2tan(x)
b)
1/2sec(x)
c)
-1/2tan(x)
d)
-1/2sec(x)
12.
Which function below matches this graph?
a)
cot(x)
b)
cot4(x)
c)
cot8(x)
d)
π/4cot(x)
13.
Which function below matches this graph?
a)
-cos3(x)
b)
-3cos(x)
c)
cos(x)-3
d)
cos(x+3)
14.
Which function below matches this graph?
a)
1-csc(x)
b)
csc(x)
c)
-csc(x)
d)
1+csc(x)
15.
Which function below matches this graph?
a)
2+sec(x)
b)
sec2(x)
c)
2sec(x)
d)
sec(x-2)
16.
Which function below matches this graph?
a)
tan(x-π/4)
b)
tan(x+π/4)
c)
cot(x)
d)
π/4cot(x)
17.
Which function below describes only the following transformations?
Left π/2
Period: π
Left π/2
Period: π
a)
csc2(x+π/2)
b)
2sec(x+π/2)
c)
tanπ/2(x+2)
d)
2-csc(x+π/2)
18.
Which function below describes only the following transformations?
Reflection over x-axis
Amplitude: 1/2
Reflection over x-axis
Amplitude: 1/2
a)
-1/2+sin(x)
b)
sec1/2(x-π)
c)
cot(x-π/2)
d)
-1/2tan(x)
19.
Which function below describes only the following transformations?
Up 3
Right π/6
Up 3
Right π/6
a)
3+cos(x-π/6)
b)
3sec(x-π/6)
c)
tan(x+π/6)-3
d)
sin3(x+π/6)
20.
Which function below describes only the following transformations?
Reflection over x-axis
Down 2
Period: 2π/3
Amplitude: 2
Reflection over x-axis
Down 2
Period: 2π/3
Amplitude: 2
a)
cot3(x)+2
b)
-3cos2(x-2)
c)
-2-2csc3(x)
d)
sec2(x+2π/3)+2
21.
cos²θ(1+cot²θ)
a)
sinθ
b)
sin²θ
c)
cotθ
d)
cot²θ
22.
a)
1 + sec s
b)
1 + csc s
c)
sec s - 1
d)
tan² s
23.
What is the vertical shift?
a)
Down 1
b)
Down 7
c)
Down 4
d)
Down 6
24.
What is the equation of the graph?
a)
y = - 6 cos x - 1
b)
y = 3 cos x - 4
c)
y = -7 cos x
d)
y = -3 cos x - 4
25.
Evaluate without a calculator:
sin(47π)
a)
22
b)
−22
c)
1
d)
undefined
100 %
