Wednesday, June 12, 2013

What does a heart's sine function look like?

What does a heart's sine function look like?  

In high school, you probably learned that trigonometric functions – like sine, cosine and tangent –can be derived, geometrically, from a circle (hence why trig functions are also known as "circular" functions). But what happens if you use a square to derive these functions, instead? Or a triangle? Or a heart?

The animation featured here (originally posted at mathani.tumblr.com, but based on this post by math visualization guru Lucas) gives us the answer. 

Writes Lucas on his captivating math-visualization tumblr, 1ucasvb:

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