YJC P1 Q4

Given $h(x) = x \text{cos}x$ for $0 \le x \le \frac{\pi}{2}$. If $h(x)=h(-x)$ and $h(x+\pi)=-h(x)$, sketch the graph of $h(x)$ for $-2\pi \le x \le 2\pi$.

“Given $latax h(x) = x \text{cos}x$” (no problem with anything from the word “for”).