Решите уравнение (sqrt(3))/(sin x)-(1)/(cos x)=4.

(sqrt(3))/(sin x)-(1)/(cos x)=4((sqrt(3))/(2)cos x-(1)/(2)sin x-sin 2x)/(sin xcos x)=0(cos(x+(pi)/(6))-cos((pi)/(2)-2x))/(sin xcos x)=0 +(pi)/(6)=+-((pi)/(2)-2x)+2kpi, kinZ x!=(npi)/(2), ninZcases[arrayl3x=(pi)/(3)+2kpi x=(2pi)/(3)-2kpiarray., kinZ x!=(npi)/(2), ninZcases [arraylx=(pi)/(9)+(2kpi)/(3) x=(2pi)/(3)+2kpiarray., kinZ.

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