ГДЗ по алгебре и начала математического анализа 10 класс Алимов Задание 589

\[\boxed{\mathbf{589}\mathbf{.}}\]

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

\[x = ( - 1)^{n} \bullet \arcsin\frac{\sqrt{3}}{2} + \pi n\]

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

\[Ответ:\ \ ( - 1)^{n} \bullet \frac{\pi}{3} + \pi n.\]

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

\[x = ( - 1)^{n} \bullet \arcsin\frac{\sqrt{2}}{2} + \pi n\]

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

\[Ответ:\ \ ( - 1)^{n} \bullet \frac{\pi}{4} + \pi n.\]

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

\[x = ( - 1)^{n} \bullet \left( - \arcsin\frac{1}{\sqrt{2}} \right) + \pi n\]

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

\[Ответ:\ \ ( - 1)^{n + 1} \bullet \frac{\pi}{4} + \pi n.\]