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cosine function

Total questions: 10

Worksheet time: 9mins

Name
Class
Date
1.
a)

period: 6πperiod:\ 6\pi

b)

period: 3πperiod:\ 3\pi

c)

period: 2πperiod:\ 2\pi

d)

period: 8πperiod:\ 8\pi

2.

a)

period: πperiod:\ \pi

b)

period: 2πperiod:\ 2\pi

c)

period: 3πperiod:\ 3\pi

d)

period: 4πperiod:\ 4\pi

3.

a)

amp: 1amp:\ 1

b)

amp: 2amp:\ 2

c)

amp: 12amp:\ \frac{1}{2}

d)

amp: 0amp:\ 0

4.

a)

amp: 4amp:\ 4

b)

amp: 2amp:\ 2

c)

amp: 1amp:\ 1

d)

amp: 0amp:\ 0

5.

a)

sine function

b)

cosine function

6.

a)

sine function

b)

cosine function

7.

What is the period of  y=4cos5θy=4\cos5\theta  ? 

a)

2π/5

b)

π

c)

5

d)

5π

8.

Write the equation for a sine function with an amplitude of 6 and a period of  π4\frac{\pi}{4}  .


a)

 y=6sin8θy=6\sin8\theta  

b)

 y=6sin8(θ1)y=6\sin8\left(\theta-1\right)  

c)

 y=6sin 14θy=6\sin\ \frac{1}{4}\theta 

d)

 y=6sinθy=6\sin\theta  

9.

Where does the graph of cosine begin?

a)

(0, 0)

b)

(0, a)

c)

(0, π)\left(0,\ \pi\right)

d)

(1, π)\left(1,\ \pi\right)

10.

a)

y=cos θ3y=\cos\ \frac{\theta}{3}

b)

y=2cos 3θy=2\cos\ 3\theta

c)

y=cos 3θy=\cos\ 3\theta

d)

y=cos2θy=\cos2\theta