Question

Solve $\sin$ $\left(\pi x+\frac{\pi }{3}\right)=\frac{1}{\sqrt{2}}$

Answer 1

$\sin (\pi x+\frac{\pi }{3})=\frac{1}{\sqrt{2}}$

$(\pi x+\frac{\pi }{3})={\sin }^{-1}\left(\sin \frac{\pi }{4}\right)$

$\pi x=\frac{\pi }{4}-\frac{\pi }{3}$

$\pi x=\frac{3\pi -4\pi }{12}$

$x=\frac{-1}{12}$