Why are sine waves so fundamental?

Why are sine waves so fundamental?
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answer:Oh man! You landed right in my backyard with this one. Heck, even my company logo is constructed by summing 2 sine waves. Why are they so fundamental? Because it takes the least amount of energy/power to move a time varying signal along a path using sinusoidal motion. Why are bubbles spherical? Because it takes the least amount of surface area to enclose the most volume. Why are lines straight? Because the shortest distance between two points is a straight line. Well if you want to move something from side to side repeatedly, a sinusoidal pattern with a sinusoidal velocity and acceleration will take the least amount of energy to do it. Also by using Fourier analyses you can represent complicated motion by summing a few simple sine waves. In fact all repeating patterns can be represented with sine waves. Once you have the representation you can filter out unwanted signals and amplify the ones you want. As we speak you are being bombarded with thousands, millions, billions of electromagnetic sine waves. Yet you can turn on your radio, select one frequency and listen to NPR’s Terry Gross on Fresh Air. Magic. Here… I will send out an electromagnetic signal in the UHF region 433.800 MHz to everyone on the planet. It will only take 80 ms to reach everyone on Earth. Hold your breath. .... There. Did you feel it? You’re welcome.
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