# How do you find the amplitude, period and graph y=sin(4theta)?

Jan 28, 2018

Amplitude= 1
Period= $\frac{\pi}{2}$

#### Explanation:

Amplitude changes when there is a number out in front of sin, so in this case it is 1

Period = $\frac{2 \pi}{n}$
= $\frac{\pi}{2}$

To graph,
Sin(4$\theta$) must complete 1 wave at $\frac{\pi}{2}$ so will complete 4 waves in the same distance that sin($\theta$) completes 1 cycle.

https://www.desmos.com/calculator A good website for graphing