Consider $h(x)=(ax)^2\cos x,\ x\in\mathbb{R}$. It is given that $a$ is a real constant. Sho

Question

Consider $h(x)=(ax)^2\cos x,\ x\in\mathbb{R}$. It is given that $a$ is a real constant. Show that $h(x)$ is an even function. It is given that $h(\pi)=-4$. Find the possible value(s) of $a$.

Accepted Answer

(a) $h$ is even. (b) $a=\pm\frac2\pi$.

Functions - Odd and Even Functions

Functions - Odd and Even Functions

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