Question

Solve the following inequality: $\sin x⩽-1.$

Answer 1

Given equation:

$\sin x\le -1$

$\sin x\le -1\Rightarrow \sin x=-1$

A $\sin x$ is never less than $-1$

Thus, for $xϵ(2n+1)\frac{\pi }{2}orx=(2n+1)\frac{\pi }{2}$,