Cos(x)*ctg(x)-корень(3)*cos(x) = 0

[latex] cosx*ctgx-\sqrt{3}cosx=0 \\ cosx(ctgx-\sqrt{3})=0 \\ x \neq \pi k, k \in \mathbb{Z} \\ cosx=0; x= \frac{\pi}{2}+\pi k; k \in \mathbb{Z} \\ ctgx=\sqrt{3}; x = \frac{\pi}{3}+2 \pi k,; x=\frac{4\pi}{3}+2\pi k k \in \mathbb{Z} \\ [/latex]