can every sound be considered as a remix of a sine wave? why?
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Sine waves are a mathematical convenience. The equations that come out of sine wave analysis are relatively simple and easy to use. Other wave forms would work, too, but the equations usually get messy quickly. There are some strange artifacts, however, such as the concept of negative frequency. The equations continue to work but the idea is a bit weird. And you often have to deal with infinite series or settle for approximations (when you cut short the infinite terms). The underlying math is best suited for repeating (and infinite) sounds, but the math can be adapted for sounds, light, gravity, tides – any wave forms. In real life, everything is finite or ceases repetition eventually, so those adaptations are important to master. As noted, Fourier analysis is the mathematical basis.
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