\frac{\sqrt{3}}{2}\\x\in(-arccos(\frac{\sqrt{3}}{2})+2\pi*n;arccos(\frac{\sqrt{3}}{2})+2\pi*n),\ n\in Z\\\boxed{x\in(-\frac{\pi}{6}+2\pi*n;\frac{\pi}{6}+2\pi*n),\ n\in Z}" alt="cos(x)>\frac{\sqrt{3}}{2}\\x\in(-arccos(\frac{\sqrt{3}}{2})+2\pi*n;arccos(\frac{\sqrt{3}}{2})+2\pi*n),\ n\in Z\\\boxed{x\in(-\frac{\pi}{6}+2\pi*n;\frac{\pi}{6}+2\pi*n),\ n\in Z}" align="absmiddle" class="latex-formula">