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TRIG Period of Sin and Cos

Total questions: 25

Worksheet time: 35mins

Name
Class
Date
1.
what is the period of y= -3sinx
a)
π
b)
2π
c)
3π
d)
4π
2.
What is the period of y=4cos5x
a)
2π/5
b)
π
c)
5
d)
5π
3.
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
4.

What is the period of the equation

y = 2cos(2x)?

a)

2π2\pi

b)

π2\frac{\pi}{2}

c)

4π4\pi

d)

π\pi

5.

Which equation has a period of π/4?

a)

y = sin (8x)

b)

y = sin (1/8x)

c)

y = sin (1/4x)

d)

y = sin (4x)

6.

What is the period

of

y = 3 sin 2x?

a)

2π2\pi

b)

2π3\frac{2\pi}{3}

c)

π\pi

d)

4π4\pi

7.

What is the period for

y = 4 cos (1/2x +π) - 2 ?

a)

π2\frac{\pi}{2}

b)

π\pi

c)

π4\frac{\pi}{4}

d)

4π4\pi

8.

What is the period of
 y=2cos⁡5xy=2\cos5x  ?

a)

 2π5\frac{2\pi}{5}  

b)

 10π10\pi  

c)

 2π2\pi  

d)

 π\pi  

9.

What is the period of y = 3 sin (7x) - 2

a)

14π14\pi

b)

2π3\frac{2\pi}{3}

c)

2π7\frac{2\pi}{7}

d)

π\pi

10.

Which is the period of y=2sin⁡3xy=2\sin3x  ?

a)

2

b)

 2π2\pi  

c)

3

d)

 2π3\frac{2\pi}{3}  

11.

What is the period in the given graph?

a)

 4π4\pi 

b)

 2π2\pi 

c)

 π4\frac{\pi}{4} 

d)

 π\pi 

12.

Which equation has a period of  π2\frac{\pi}{2}  ?

a)

 y=1+cos⁡(π2x−4)y=1+\cos\left(\frac{\pi}{2}x-4\right)  

b)

 y=2cos⁡(x+π)−2y=2\cos\left(x+\pi\right)-2  

c)

 y=1+3sin⁡(2x−π2)y=1+3\sin\left(2x-\frac{\pi}{2}\right)  

d)

 y=2+sin⁡(4x+π2)y=2+\sin\left(4x+\frac{\pi}{2}\right)  

13.

Which equation has a period of  π\pi  ?

a)

 y=1+cos⁡(π2x−4)y=1+\cos\left(\frac{\pi}{2}x-4\right)  

b)

 y=2cos⁡(x+π)−2y=2\cos\left(x+\pi\right)-2  

c)

 y=1+3sin⁡(2x−π2)y=1+3\sin\left(2x-\frac{\pi}{2}\right)  

d)

 y=2+sin⁡(4x+π2)y=2+\sin\left(4x+\frac{\pi}{2}\right)  

14.

What is the period?

a)

4π

b)

2π

c)

π

d)

8π

15.

What is the period of this graph?

a)

2π2\pi

b)

π\pi

c)

4π4\pi

d)

π2\frac{\pi}{2}

16.

What is the period of the graph shown?

a)

8π8\pi

b)

4π4\pi

c)

π\pi

d)

2π2\pi

17.

 What is the period of the given function 
 y=2cos⁡⁡6(x+π6)y=2\cos⁡6(x+\frac{\pi}{6})  

a)

 12π12\pi  

b)

 π\pi 

c)

 π6\frac{\pi}{6} 

d)

 π3\frac{\pi}{3}  

18.

What is the period?

a)

3π/4

b)

π/2

c)

2π/3

d)

π

19.

What is the period of the graph shown?

a)

4π4\pi

b)

2π2\pi

c)

π2\frac{\pi}{2}

d)

π\pi

20.
What is the period?
a)
4π
b)
2π
c)
π
d)
8π
21.

What is the period of the graph?

a)


2π2\pi

b)

π\pi

c)

π2\frac{\pi}{2}

d)

π4\frac{\pi}{4}

22.

What is the period of the equation shown?

a)

3π

b)

2π

c)

3π / 2

d)

2π / 3

23.

What is the period of the equation shown?

a)

8π

b)

4π

c)

π / 4

d)

π / 2

24.

What is the period of the equation shown?

a)

2π

b)

4π

c)

π / 2

d)

π

25.

What is the period of the graph shown?

a)

π2\frac{\pi}{2}

b)

2π2\pi

c)

π\pi

d)

3π2\frac{3\pi}{2}