Решебник по алгебре и начала математического анализа 11 класс Колягин Задание 58

\[\lbrack 0;\ 3\pi\rbrack.\]

\[1)\sin x = \frac{\sqrt{3}}{2}:\]

\[x = ( - 1)^{n} \bullet \frac{\pi}{3} + \pi\text{n.}\]

\[Ответ:\ \ \frac{\pi}{3};\ \frac{2\pi}{3};\ \frac{7\pi}{3};\ \frac{8\pi}{3}.\]

\[2)\sin x = \frac{\sqrt{2}}{2}:\]

\[x = ( - 1)^{n} \bullet \frac{\pi}{4} + \pi\text{n.}\]

\[Ответ:\ \ \frac{\pi}{4};\ \frac{3\pi}{4};\ \frac{9\pi}{4};\ \frac{11\pi}{4}.\]

\[3)\sin x = - \frac{\sqrt{2}}{2}:\]

\[x = ( - 1)^{n + 1} \bullet \frac{\pi}{4} + \pi\text{n.}\]

\[Ответ:\ \ \frac{5\pi}{4};\ \frac{7\pi}{4}.\]

\[4)\sin x = - \frac{\sqrt{3}}{2}:\]

\[x = ( - 1)^{n + 1} \bullet \frac{\pi}{3} + \pi\text{n.}\]

\[Ответ:\ \ \frac{4\pi}{3};\ \frac{5\pi}{3}.\]