Решебник по алгебре и начала математического анализа 11 класс Колягин Задание 76

\[1)\ y = tg\ x;\ \ \ x = \frac{3\pi}{4}:\]

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

\[2)\ y = tg\ 3x;\ \ \ x = \frac{2\pi}{3}:\]

\[y\left( \frac{2\pi}{3} \right) = tg\left( 3 \bullet \frac{2\pi}{3} \right) = tg\ 2\pi = 0;\]

\[3)\ y = ctg\ x;\ \ \ x = \frac{5\pi}{6}:\]

\[y\left( \frac{5\pi}{6} \right) = ctg\frac{5\pi}{6} = - ctg\frac{\pi}{6} = - \sqrt{3};\]

\[4)\ y = ctg\frac{x}{2};\ \ \ x = \frac{\pi}{2}:\]

\[y\left( \frac{\pi}{2} \right) = ctg\left( \frac{1}{2} \bullet \frac{\pi}{2} \right) = ctg\frac{\pi}{4} = 1.\]