![image](https://tex.z-dn.net/?f=3tgx%2B%5Csqrt%7B3%7D%3E0%5C%5Ctgx%3E-%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B3%7D%5C%5Cx%5Cin%28arctg%28-%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B3%7D%29%2B%5Cpi%2An%3B%5Cfrac%7B%5Cpi%7D%7B2%7D%2B%5Cpi%2An%29%2C%5C+n%5Cin+Z%5C%5Cx%5Cin%28-%5Cfrac%7B%5Cpi%7D%7B6%7D%2B%5Cpi%2An%3B%5Cfrac%7B%5Cpi%7D%7B2%7D%2B%5Cpi%2An%29%2C%5C+n%5Cin+Z)
0\\tgx>-\frac{\sqrt{3}}{3}\\x\in(arctg(-\frac{\sqrt{3}}{3})+\pi*n;\frac{\pi}{2}+\pi*n),\ n\in Z\\x\in(-\frac{\pi}{6}+\pi*n;\frac{\pi}{2}+\pi*n),\ n\in Z" alt="3tgx+\sqrt{3}>0\\tgx>-\frac{\sqrt{3}}{3}\\x\in(arctg(-\frac{\sqrt{3}}{3})+\pi*n;\frac{\pi}{2}+\pi*n),\ n\in Z\\x\in(-\frac{\pi}{6}+\pi*n;\frac{\pi}{2}+\pi*n),\ n\in Z" align="absmiddle" class="latex-formula">