ГДЗ по алгебре и начала математического анализа 11 класс Колягин Задание 35

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

\[1)\cos x = \frac{1}{2}\]

\[x = \pm \frac{\pi}{3} + 2\pi\text{n.}\]

\[Ответ:\ \ \frac{\pi}{3};\ \frac{5\pi}{3};\ \frac{7\pi}{3}.\]

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

\[x = \pm \frac{\pi}{4} + 2\pi\text{n.}\]

\[Ответ:\ \ \frac{\pi}{4};\ \frac{7\pi}{4};\ \frac{9\pi}{4}.\]

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

\[x = \pm \frac{3\pi}{4} + 2\pi\text{n.}\]

\[Ответ:\ \ \frac{3\pi}{4};\ \frac{5\pi}{4};\ \frac{11\pi}{4}.\]

\[4)\cos x = - \frac{1}{2}\]

\[x = \pm \frac{2\pi}{3} + 2\pi\text{n.}\]

\[Ответ:\ \ \frac{2\pi}{3};\ \frac{4\pi}{3};\ \frac{8\pi}{3}.\]