Решите уравнение sin 4xcos 10x=sin xcos 7x.

sin 4xcos 10x=sin xcos 7x sin 14x-sin 6x=sin 8x-sin 6x sin 14x=sin 8x [arrayl14x=8x+2kpi, kinZ 14x=-8x+(2k+1)pi, kinZarray. [arraylx=(kpi)/(3), kinZ x=(2k+1)/(22)pi, kinZarray.

x = \dfrac{k\pi}{3},\ \dfrac{2k+1}{22}\pi,\ k\in\mathbb{Z}