Решебник по алгебре и начала математического анализа 11 класс Колягин Задание 116

\[1)\ tg\ x \leq \sqrt{3};\ \ \ \lbrack - \pi;\ \pi\rbrack:\]

\[y = tg\ x;\ y = \sqrt{3}.\]

\[Ответ:\ \ \]

\[\left\lbrack - \pi;\ - \frac{2\pi}{3} \right\rbrack \cup \left( - \frac{\pi}{2};\ \frac{\pi}{3} \right\rbrack \cup \left( \frac{3\pi}{2};\ \pi \right\rbrack.\]

\[2)\ ctg\ x \leq 1;\ \ \ \left( - \pi;\ \frac{3\pi}{2} \right\rbrack:\]

\[y = ctg\ x;\ y = 1.\]

\[Ответ:\ \ \]

\[\left\lbrack - \frac{3\pi}{4};\ 0 \right) \cup \left\lbrack \frac{\pi}{4};\ \pi \right) \cup \left\lbrack \frac{5\pi}{4};\ \frac{3\pi}{2} \right\rbrack.\]

\[3)\ ctg\ x \geq - 1;\ \ \ \left\lbrack - \frac{\pi}{2};\ 2\pi \right):\]

\[y = ctg\ x;\ y = - 1.\]

\[Ответ:\ \ \]

\[\left\lbrack - \frac{\pi}{2};\ - \frac{\pi}{4} \right\rbrack \cup \left( 0;\ \frac{3\pi}{4} \right\rbrack \cup \left( \pi;\ \frac{7\pi}{4} \right\rbrack.\]

\[4)\ tg\ x \geq - \sqrt{3};\ \ \ \left( - \frac{3\pi}{2};\ \pi \right\rbrack:\]

\[y = tg\ x;\ y = - \sqrt{3}.\]

\[Ответ:\ \ \]

\[\left\lbrack - \frac{4\pi}{3};\ - \frac{\pi}{2} \right) \cup \left\lbrack - \frac{\pi}{3};\ \frac{\pi}{2} \right) \cup \left\lbrack \frac{2\pi}{3};\ \pi \right\rbrack.\]