A proof to remember: Double Angle Formulas I (visual proof)

This is a short, animated visual proof of the Double angle identities for sine and cosine. To get the formulas we employ the Law of Sines and the Law of Cosines to an isosceles triangle created by from a reflected copy of a given triangle. If you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualProofs. Thanks! This animation is the classic visual proof the fact but most likely not the one Euclid used. For visual proofs of the Law of Sines and Law of Cosines, check out: https://youtu.be/TU0043SuGsM https://youtu.be/NHxJ3Z_58Lw or https://youtu.be/vNCe7ciFwVc This animation is based on a visual proof by Sidney H. Kung from the March 1996 issue of The College Mathematics Journal (https://www.jstor.org/stable/2687407 - page 155). #mathshorts #mathvideo #math #trigonometry #lawofsines #lawofcosines #triangle #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #circle #obtuseangle #acuteangle #angle #trigidentities #identity #righttriangle #isoscelestriangle #doubleangle To learn more about animating with manim, check out: https://manim.community