Решите уравнение tgx-4sin x=sqrt(3).

tgx-4sin x=sqrt(3) 4sin xcos x=sin x-sqrt(3)cos x sin 2x=sin(x-(pi)/(3)) [arrayl2x=x-(pi)/(3)+2kpi 2x=-x+(pi)/(3)+(2k+1)piarray., kinZ [arraylx=-(pi)/(3)+2kpi x=(pi)/(9)+(2k+1)/(3)piarray., kinZ.

x = -\frac{\pi}{3}+2k\pi,\ \frac{\pi}{9}+\frac{2k+1}{3}\pi,\ k\in\mathbb{Z}