Exercise 4: Parametric Equations of a Trochoid
https://3speak.tv/watch?v=mes/ndykmfiu In this video I derive the parametric equations of a trochoid, which is the shape obtained by tracing a point as a circle rotates. If the point traced is on the circle itself, then the shape is the famous cycloid. When the point is inside the circle, the shape is a curtate trochoid, and when the point is outside the circle, the shape is a prolate trochoid, which has the characteristic loop. I derive the equations by using basic trigonometry and the fact that
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