Sine and Cosine - A Visual Explanation

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These functions are super fundamental to trigonometry, as well as incredibly useful! Here's an example of how you can construct a 2D vector pointing at a given angle using trigonometry. Note that in this case it will always have a length of 1, also known as unit length, which means that by definition it's a normalized vector!

[taber]

Jesus I've been using these for years as an animator and could never figure out what they actually were! Thank you!

[ponkke]

These kind of tutorials is exactly what I've been looking for.. I barely know trigonometry for the moment being and there is a certain problem I need to solve which I know can be solved with trigonometry, doesn't even exactly relate to shaders but a function in substance designer. I wish you'd include the solution/goal aswell for the points you explain on the video.

[hisamezero]

Recently found your channel. Just gonna say you're amazing at explaining math!

[raghulponnusamy]

Thank you very much for the tutorials on math and shaders.

[ClutchGen]

Thank you for sharing Freya! I'm getting ready to do a deep dive into your Math for Game Devs playlist. I'm curious -- have you heard of Leonardo? It's become my go-to "white-boarding" program on windows for these kind of presentations.

[nyckgs]

What if I accidentally try to get cossine from the angle between the vector and Y direction??? No one explains that

[zoriiginalx]

sin^2(theta) + cos^2(theta) = 1
Pythagorean identity :D

[HEXO_HANK]

A good looking chick explains sine and cosine? That's why i love youtube