Решите уравнение sin 7x+sin 6x=sin x.

sin 7x+sin 6x=sin x 2sin(13x)/(2)cos(x)/(2)=2sin(x)/(2)cos(x)/(2) cos(x)/(2)*(sin(13x)/(2)-sin(x)/(2))=0 [arrayl(x)/(2)=(pi)/(2)+kpi (13x)/(2)=(x)/(2)+2kpi (13x)/(2)=-(x)/(2)+(2k+1)piarray., kinZ [arraylx=(2k+1)pi 6x=2kpi 7x=(2k+1)piarray., kinZ [arraylx=(kpi)/(3) x=((2k+1)pi)/(7)array., kinZ

x = \frac{k\pi}{3},\ \frac{(2k+1)\pi}{7},\ k\in\mathbb{Z}