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

1 Answer
Dec 7, 2015

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


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

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