Question

When $\sin x=1$, what does $x$ equal$?$

Answer 1

Find $x$, When $\sin x=1$.

In the right triangle, the solution for this case will be $x=0,\mathrm{\pi },2\mathrm{\pi }$ as this values will satisfies the given equation lying in the interval $\left[0,2\mathrm{\pi }\right]$.

If $\sin x=0$, then $x=0,\mathrm{\pi },2\mathrm{\pi }....$ are the solution of the given equation:

Therefore, $x=\frac{\mathrm{\pi }}{2}$.

Hence, $\mathit{s}\mathit{i}\mathit{n}\mathbf{}\mathit{x}\mathbf{=}\mathbf{1}$ only when $\mathit{x}\mathbf{=}\frac{\mathbf{\pi }}{\mathbf{2}}$.