Why is sin^2(x) [aka sin(x)^2] plotted the way it is?

Dec 2018
29
2
USA
I compared the equation to sin^2(x) to sin(x) and I noticed a vast difference. The graphs below provide more insight:
hillsin^2x.JPGsin^2(x) and sinx.JPG sin(x)

I understand that two maximums on the sin(x) graphs (positive side) mean that one full rotation of the circle occurred, with the domain for now being 180 degrees or pi.
However, I cannot grasp why sin^2(x) does not contain a minimum below zero... can someone explain this to me?
 

romsek

MHF Helper
Nov 2013
6,667
3,005
California
you're asking why the square of a real number is never below zero?
 
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