Answer
The required solution is False.
Work Step by Step
The given statement shows that the equation of $\tan 3x=1$ is indicates the value of $x=\frac{\pi }{4}+n\pi $. The computation is incorrect because the value of x is different as shown below:
$\begin{align}
& \tan 3x=1=\tan \frac{\pi }{4} \\
& 3x=\frac{\pi }{4}+n\pi \\
& x=\frac{\pi }{12}+\frac{n\pi }{3} \\
\end{align}$
