# How do you find the amplitude and period of #y=3 cos pi x#?

##### 1 Answer

Oct 13, 2015

Amplitude is 3 units and period is 2 radians.

#### Explanation:

For any general cosine function of the form

A represents the amplitude, ie the maximum displacement from the x-axis, and the period is given by

So in this case, the amplitude is 3 and the period is 2.

Graphically :

graph{3cos(pix) [-10, 10, -5, 5]}