Question

Find the domain of definition of the following function:
$y=\sqrt{2\sin \frac{x}{2}}$

Answer 1

$y=\sqrt{2\sin \frac{x}{2}}.$

$⟹2\sin \frac{x}{2}\ge 0$

$\therefore$ $x\in [2n\pi ,(2n+2\left)\pi \right].$