Question

How do you find the amplitude and period of a function `y=cos²(x)`?

Answer 1

First, simply graph each function ... the blue line is the new function and the red line is cos x .

Explanation:

Since this function is squared, it must always be positive. Also, since cos x fluctuates between -1 and 1, then squaring it, the new function will fluctuate between 0 and 1.

The period will also be cut in half .

amplitude `=1/2(0+1)=1/2`

period `=pi`

hope that helped