Question

СРОЧНО
Cos^2 x - √3 sin x *cos x = 0

Answer 1

$cos^2x-\sqrt3sinx\cdot cosx=0\\\\cosx(cosx-\sqrt3sinx)=0\\\\1)\; cosx=0\; ,\; \; x=\frac{\pi}{2}+\pi n\; ,\; n\in Z\\\\2)\; cosx-\sqrt3sinx=0|:cosx\ne 0\\\\1-\sqrt3tgx=0\\\\tgx=\frac{1}{\sqrt3}=\frac{\sqrt3}{3}\; ,\; \; x=\frac{\pi}{6}+\pi k\; ,\; k\in Z$