Uploaded July 2024 | Updated September 2026, 2 weeks ago
This is a short, animated visual proof of the Double angle identities for sine and cosine. To get the formulas we use a semicircle diagram and rely on similarity of two right triangles formed inside.
If you like this video, consider subscribing to the channel or consider buying me a coffee: buymeacoffee.com/VisualProofs. Thanks!
For another visual proof of this fact using the laws of sines and cosines, check out this animation:
youtu.be/0ggGQ96eaiE
This animation is based on a visual proof by Roger B. Nelsen from the January 1989 issue of The College Mathematics Journal (jstor.org/stable/2686819 - page 51).
#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
This is a short, animated visual proof of the Double angle identities for sine and cosine. To get the formulas we use a semicircle diagram and rely on similarity of two right triangles formed inside.
If you like this video, consider subscribing to the channel or consider buying me a coffee: buymeacoffee.com/VisualProofs. Thanks!
For another visual proof of this fact using the laws of sines and cosines, check out this animation:
youtu.be/0ggGQ96eaiE
This animation is based on a visual proof by Roger B. Nelsen from the January 1989 issue of The College Mathematics Journal (jstor.org/stable/2686819 - page 51).
#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
