Question

sin(п+Х)=cos(-п/3)

Answer 1

$sin(\pi +x)=cos(-\frac{\pi}{3})\\\\-sinx=cos\frac{\pi}{3}\\\\sinx=-\frac{1}{2}\\\\x=(-1)^{n}(-arcsin\frac{1}{2})+\pi n\\\\x=(-1)^{n+1}\frac{\pi}{6}+\pi n,\; n\in Z$