Chapter 10.4, Problem 2E

In Problem 1-4, determine (a) the $\pi$-periodic extension $\tilde{f}$, (b) the odd $2\pi$-periodic extension $f_0$ (c) even $2\pi$-periodic extension $f_e$ for the given function $\text{f}$ and sketch their graphs,

$f\left(x\right)=\sin 2x$, $0<x<\pi$