Решебник по алгебре и начала математического анализа 10 класс Алимов Задание 425

\[\boxed{\mathbf{425.}}\]

\[\ a = x + 2\pi k\]

\[1)\ a = 9,8\pi:\]

\[a = 1,8\pi + 8\pi = \frac{18}{10}\pi + 8\pi =\]

\[= \frac{9\pi}{5} + 2\pi \bullet 4\]

\[Ответ:\ \ x = \frac{9\pi}{5};\ \ k = 4.\]

\[2)\ a = 7\frac{1}{3}\pi:\]

\[a = 1\frac{1}{3}\pi + 6\pi = \frac{4\pi}{3} + 2\pi \bullet 3\]

\[Ответ:\ \ x = \frac{4\pi}{3};\ \ k = 3.\]

\[3)\ a = \frac{11}{2}\pi:\]

\[a = \frac{3\pi}{2} + \frac{8\pi}{2} = \frac{3\pi}{2} + 4\pi =\]

\[= \frac{3\pi}{2} + 2\pi \bullet 2\]

\[Ответ:\ \ x = \frac{3\pi}{2};\ \ k = 2.\]

\[4)\ a = \frac{17}{3}\pi:\]

\[a = \frac{5\pi}{3} + \frac{12\pi}{3} = \frac{5\pi}{3} + 4\pi =\]

\[= \frac{5\pi}{3} + 2\pi \bullet 2\]

\[Ответ:\ \ x = \frac{5\pi}{3};\ \ k = 2.\]