Six Trigs in 60 Seconds!

Published: 18 April 2024
on channel: Mathematical Visual Proofs
466,544
27k

In this video, we show a single diagram consisting of various triangles that connects the six primary trig functions (sine, cosine, tangent, secant, cosecant, and cotangent) to lengths of line segments created from the unit circle (circle of radius 1). We also briefly discuss the fact that the "co" on three of the functions refer to the "complementary angle."

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For a longer version of this video with more details and information, see
   • Trig Visualized: One Diagram to Rule ...  

This animation is based on a classic diagram for describing the six main trig functions. If you want to know more trig identities, check out my playlist:
   • Trigonometry  

or check out this Wikipedia article:
https://en.wikipedia.org/wiki/List_of...

Here is an interactive version from Tien Chih using Desmos:

https://www.desmos.com/calculator/26f...

Here are alternate videos with the same diagram:

   • All 6 Trig Functions on the Unit Circle  

   • Visualization of trigonometric functions  

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


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