Prove that Sine and Cosine are Periodic Functions

Utilize two routes for showing that sine and cosine are periodic functions.

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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