If $\sin \left(5 x+\frac{\pi}{4}\right)=0$, then $x$ is equal to

Question

Aicharya · Accepted Answer

$\sin \left(5 x+\frac{\pi}{4}ight)=0=\sin n \pi(\because \sin n \pi=0)$ where $n \in Z$ $ \begin{array}{rlrl} \Rightarrow & & 5 x+\frac{\pi}{4} & =n \pi \ \Rightarrow & x & =\frac{1}{5}\left(n \pi-\frac{\pi}{4}ight)=\frac{n \pi}{5}-\frac{\pi}{20} \end{array} $

If $\sin \left(5 x+\frac{\pi}{4}\right)=0$, then $x$ is equal to

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