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Worksheets

Graphs of Trig functions

Total questions: 19

Worksheet time: 2hrs 35mins

Name
Class
Date
1.
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
2.
Sine or Cosine?
a)
y=sinx
b)
y=cosx
c)
what's the difference?
d)
it's all waves to me
3.
What is the period of
y= -3sin(x)
a)
π
b)
c)
d)
4.
Sine or Cosine?
a)
y=sinx
b)
y=cosx
5.
What is the period of y=4cos(5x)
a)
2π/5
b)
π
c)
5π/2
d)
6.
What is the period of the graph? 
a)
2Pi
b)
Pi
c)
Pi/2
d)
Pi/4 
7.

The __________ represents the distance above or below the centerline of a sine or cosine graph; we always take the absolute value of this height.

a)

Period

b)

Frequency

c)

Extreme Values

d)

Amplitude

8.

Choose the correct equation for the graph.

a)

y=sin(x)y=\sin\left(x\right)

b)

y=sec(x)y=\sec\left(x\right)

c)

y=csc(x)y=\csc\left(x\right)

d)

y=tan(x)y=\tan\left(x\right)

e)

y=cot(x)y=\cot\left(x\right)

9.

Choose the correct equation for the graph.

a)

y=sin(x)y=\sin\left(x\right)

b)

y=sec(x)y=\sec\left(x\right)

c)

y=csc(x)y=\csc\left(x\right)

d)

y=tan(x)y=\tan\left(x\right)

e)

y=cos(x)y=\cos\left(x\right)

10.

Choose the correct equation for the graph.

a)

y=cot(x)y=\cot\left(x\right)

b)

y=sec(x)y=\sec\left(x\right)

c)

y=csc(x)y=\csc\left(x\right)

d)

y=tan(x)y=\tan\left(x\right)

e)

y=cos(x)y=\cos\left(x\right)

11.

Choose the correct equation for the graph.

a)

y=cos(x)y=\cos\left(x\right)

b)

y=sin(x)y=\sin\left(x\right)

c)

y=cot(x)y=\cot\left(x\right)

d)

y=tan(x)y=\tan\left(x\right)

e)

y=csc(x)y=\csc\left(x\right)

12.

Which of the following functions does NOT have a period of 2pi?

a)

y = sin x

b)

y = tan x

c)

y = csc x

13.
Sine or Cosine?
a)
y=sinx
b)
y=cosx
14.
Sine or Cosine?
a)
y=sinx
b)
y=cosx
15.
Which equation?
a)
y= sin(1/3x)
b)
y= (1/3)sinx
c)
y= 3sinx
d)
y= sin(3x)
16.
Which function below matches this graph?
a)
cot(x)
b)
cot4(x)
c)
cot8(x)
d)
π/4cot(x)
17.
Which function represents the graph?
a)
f(x) = 3 sin x
b)
f(x) = 3 cos x
c)
f(x) = sin ( ⅓ x)
d)
f(x) = sin (3 x)
18.
What is the period of this equation?
y = -5sin(3x)
a)
-5
b)
2pi/3
c)
2pi/5
d)
3
19.

What is the period of the function?  

 y=4cot(3x)y=4\cot\left(3x\right)   

a)

b)

  π3\frac{\pi}{3}   

c)

 4π4\pi  

d)

  π\pi