Answer
$\frac{\pi }{3}$ is not the solution of the given equation.
Work Step by Step
We know that according to the ratio table of trigonometry, the value of $\sin \frac{\pi }{3}$ is given as $\frac{\sqrt{3}}{2}$.
$\begin{align}
& \sin x=\frac{\sqrt{2}}{2} \\
& \sin \frac{\pi }{3}=\frac{\sqrt{2}}{2} \\
& \frac{\sqrt{3}}{2}=\frac{\sqrt{2}}{2}
\end{align}$
Thus, $\sin x=\frac{\sqrt{2}}{2}$ is false.
