Question

The value of x fo which $\sin \left(\pi x\right)+\cos \left(\pi x\right)=0$

Answer 1

$\sin \pi x+\cos \pi x=0\sin \pi x=-\cos \pi x-\tan \pi x=1\tan \pi x=-1\tan \pi x=\tan \frac{3\pi }{2}x=\frac{3\pi }{2}$