Answer
False
Work Step by Step
The given statement shows that $3x=\frac{\pi }{4}+n\pi $. By using the transportation method, the value of x is computed as given below:
$\begin{align}
& 3x=\frac{\pi }{4}+n\pi \\
& x=\frac{\pi +4n\pi }{4}\times \frac{1}{3} \\
& =\frac{\pi +4n\pi }{12}
\end{align}$
But the value given in the case is $\frac{\pi }{12}+n\pi $. Thus, the given statement is false.
