Решите неравенство \(\frac{2}{\tg{x}+1}<2-\tg{x}.\) Укажите решение неравенства на промежутке \([0;2\pi].\) \((0; \frac{\pi}{4}) \cup(\frac{\pi}{2};\frac{3\pi}{4})\cup(\pi;\frac{5\pi}{4})\cup(\frac{3\pi}{2};\frac{7\pi}{4})\) \((0; \frac{\pi}{4})\cup(\pi;\frac{5\pi}{4})\) \([0; \frac{\pi}{4}) \cup[\frac{\pi}{2};\frac{3\pi}{4})\cup[\pi;\frac{5\pi}{4})\cup[\frac{3\pi}{2};\frac{7\pi}{4})\) \([0; \frac{\pi}{4})\cup[\pi;\frac{5\pi}{4})\)

Задание

Решите неравенство \(\frac{2}{\tg{x}+1}\lt 2-\tg{x}.\) Укажите решение неравенства на промежутке \([0;2\pi].\)

\((0; \frac{\pi}{4}) \cup(\frac{\pi}{2};\frac{3\pi}{4})\cup(\pi;\frac{5\pi}{4})\cup(\frac{3\pi}{2};\frac{7\pi}{4})\)
\((0; \frac{\pi}{4})\cup(\pi;\frac{5\pi}{4})\)
\([0; \frac{\pi}{4}) \cup[\frac{\pi}{2};\frac{3\pi}{4})\cup[\pi;\frac{5\pi}{4})\cup[\frac{3\pi}{2};\frac{7\pi}{4})\)
\([0; \frac{\pi}{4})\cup[\pi;\frac{5\pi}{4})\)