Physics - SHM Question with Solution | TestHub

$\begin{array}{c}x=\sin \omega t+\cos \omega t\\ \sin \frac{\pi }{4}=\cos \frac{\pi }{4}=\frac{1}{\sqrt{2}}\\ \text{By the sine addition formula:}\\ x=\sqrt{2}\sin \left(\omega t+\frac{\pi }{4}\right)\\ \text{Option (C)}\end{array}$