Sine of a Sum I (visual proof; trigonometry)

This is a short, animated visual proof of the sum formula for the sine function using the Side-Angle-Side triangle area formula. This theorem relates the sine of a sum to the sum of products of sines and cosines. #mathshorts #mathvideo #math #trigonometry #sine #sinofsum #triangle #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #circle #sideangleside #trianglearea

This animation is based on a proof due to Christopher Brueningsen from the April 1993 issue of Mathematics Magazine (https://doi.org/10.2307/2691126) page 135.

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Background music:
Cinematic Ambient Beat | STEPS by Alex-Productions |    / @alexproductionsnocopyright  
Music promoted by https://www.free-stock-music.com
Creative Commons Attribution 3.0 Unported License
https://creativecommons.org/licenses/...