Question

Solve the following inequality:
${\log }_2\left(\sin \frac{x}{2}\right)<-1$

Answer 1

${\log }_2(\sin \frac{x}{2})<-1$

$\sin \frac{x}{2}<\frac{1}{2}⟹x\in (\frac{\pi }{3},\frac{2\pi }{3})$