Задание

Решите неравенство \(\tg{x}-2\ctg{x}\ge0.\) Укажите решение неравенства на промежутке \([0;2\pi].\)

\([\arctg{\sqrt{2}}; \frac{\pi}{2})\cup[\pi-\arctg{\sqrt{2}}; \pi)\cup[\pi+\arctg{\sqrt{2}};\frac{3\pi}{2})\cup[2\pi-\arctg{\sqrt{2}};2\pi)\)

\([\arctg{\sqrt{2}}; \frac{\pi}{2})\cup[\pi-\arctg{\sqrt{2}}; \pi]\cup[\pi+\arctg{\sqrt{2}};\frac{3\pi}{2})\cup[2\pi-\arctg{\sqrt{2}};2\pi]\)

\([\arctg{\sqrt{2}}; \frac{\pi}{2}]\cup[\pi-\arctg{\sqrt{2}}; \pi]\cup[\pi+\arctg{\sqrt{2}};\frac{3\pi}{2}]\cup[2\pi-\arctg{\sqrt{2}};2\pi]\)

\((\arctg{\sqrt{2}}; \frac{\pi}{2})\cup(\pi-\arctg{\sqrt{2}}; \pi)\cup(\pi+\arctg{\sqrt{2}};\frac{3\pi}{2})\cup(2\pi-\arctg{\sqrt{2}};2\pi)\)