Hello all. After completing a problem in which we derived the formulas for potential and spring force energy as functions of time, with simple harmonic motion I noticed the equations are EXACTLY the same, but with sine and cosine switched. The equations were:(adsbygoogle = window.adsbygoogle || []).push({});

A sin^2(pi * t)

A cos^2(pi * t)

I apologize for this awful format, I want to learn the math script used on this website, but I forgot the name (would be appreciated also).

Anyways here is a graph of the aforementioned functions.

My question: Is there a way to represent this back and forth behavior with a linear function or any other way?

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# B Sine/Cosine behaving like a linear function

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