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WorksheetsGraphs of Trigonometric Functions 1
Total questions: 15
Worksheet time: 1hrs 15mins
Name
Class
Date
1.
The __________ represents the distance above or below the midline of a sine or cosine graph; we always take the absolute value of this height.
a)
Period
b)
Frequency
c)
Extreme Values
d)
Amplitude
2.
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
3.
Which value represents a vertical shift in the following function y=a*sin(bx - c)+d?
a)
a
b)
b
c)
c
d)
d
4.
Which value helps identify a horizontal shift in the following function y=a*sin(bx-c)+d?
a)
a
b)
b
c)
c
d)
d
5.
Sine or Cosine?
a)
y=sinx
b)
y=cosx
c)
what's the difference?
d)
it's all waves to me
6.
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
7.
What is the period of
y= -3sin(x)
y= -3sin(x)
a)
π
b)
2π
c)
3π
d)
4π
8.
How many "key points" should be included in every cycle/period of a sine or cosine graph?
a)
As many as I want
b)
It depends on the graph
c)
4
d)
5
9.
To re-scale the x-axis with new intervals...
a)
Take 2π/B
b)
Take the B value from the equation
c)
Take Period divide it by 4
d)
The scale doesn't really matter
10.
What is the equation of graph?
a)
y = sin 5x
b)
y = cos 5x
c)
y = 5 sin x
d)
y = 5 cos x
11.
What trigonometric functions have vertical asymptotes?
a)
sine
b)
cosine
c)
tangent
d)
none listed here
12.
Which function below matches this graph?
a)
tan(x)
b)
-tan(x)
c)
tan(x)+1
d)
tan(2x)
13.
What is the period of the function?
a)
2π
b)
2
c)
1/2
d)
1/2π
14.
Which formulas is used to find the period of a tangent function?
a)
π
b)
π/b
c)
2π
d)
2π/b
15.
What are the periods of the following function?
y = tan2x
a)
π/2
b)
π
c)
2π
d)
π/4
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