Question

Решите: √3cos+2sinxcosx=0

Answer 1

$sqrt3cos x+2sin xcos x=0\cos x(sqrt3+2sin x)=0\begin{cases}cos x=0\sqrt3+2sin x=0end{cases}Rightarrow begin{cases}cos x=0\sin x=-frac{sqrt3}2end{cases}Rightarrowbegin{cases}x=fracpi2+pi n\x=(-1)^ncdotfrac{7pi}6+pi nend{cases}$