Question

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

Answer 1

Find the value of$x$.

When $\sin x=1$,then

$$\begin{gathered} \Rightarrow \sin x=\sin \frac{\mathrm{\pi }}{2} \\ \Rightarrow x=\frac{\mathrm{\pi }}{2} \end{gathered}$$

The only value of $x=\frac{\mathrm{\pi }}{2}$ in the interval $\left[0,2\mathrm{\pi }\right]$ that satisfies the equation $\sin x=1$.

Thus, the value of $x$ that satisfies the equation $\sin x=1$ in the interval $\left[0,2\mathrm{\pi }\right]$ is $\frac{\mathrm{\pi }}{2}$