Develop a set of parametric equations to describe the Cycloid generated by tracing a point on the circumference of a circle as it rotates and translates forward.
The 'theta' variable will be the parameter.
Relevant video (Involute of a circle):
https://youtu.be/fEuQgPKloWA
The purpose of the channel is to learn, familiarize, and review the necessary precalculus and trigonometry/geometry topics that form a basis for calculus (with a focus on functions). Calculus topics include limits, derivatives, integrals, formula derivations, derivations/proofs, area/volumes of curves and calculus applications.
Utilize simple and easy techniques to get the material across to you.
Disclaimer: I am not a professor by profession.
Thank you!
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