Решебник по алгебре и начала математического анализа 11 класс Колягин Задание 78

\[y = tg\ 2x.\]

\[1)\ \left( \frac{3\pi}{8};\ - 1 \right):\]

\[y\left( \frac{3\pi}{8} \right) = tg\frac{3\pi}{4} = - tg\frac{\pi}{4} = - 1.\]

\[Ответ:\ \ да.\]

\[2)\ \left( \frac{13\pi}{6};\ \frac{\sqrt{3}}{3} \right):\]

\[y\left( \frac{13\pi}{6} \right) = tg\frac{13\pi}{3} = tg\frac{\pi}{3} = \sqrt{3}.\]

\[Ответ:\ \ нет.\]

\[3)\ \left( \frac{14\pi}{3};\ \sqrt{3} \right):\]

\[y\left( \frac{14\pi}{3} \right) = tg\frac{28\pi}{3} = tg\frac{\pi}{3} = \sqrt{3}.\]

\[Ответ:\ \ да.\]

\[4)\ \left( - \frac{17\pi}{8};\ - 1 \right):\]

\[y\left( - \frac{17\pi}{8} \right) = tg\left( - \frac{17\pi}{4} \right) =\]

\[= - tg\frac{\pi}{4} = - 1.\]

\[Ответ:\ \ да.\]