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. To learn more about animating with manim, check out: https://manim.community ____________________________________________________ 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/...