Укажите решение неравенства \(\sin{x}\ge\frac{\sqrt{2}}{2}.\) \([\frac{\pi}{4}+2\pi n; \frac{3\pi}{4}+2\pi n], n\in Z\) \((\frac{\pi}{4}+2\pi n; \frac{3\pi}{4}+2\pi n), n\in Z\) \([\frac{\pi}{4};\frac{\pi}{2} +2\pi n]\cup[\frac{5\pi}{4}; \frac{3\pi}{2}+2\pi n], n\in Z\) \([\frac{\pi}{4};\frac{\pi}{2} +2\pi n)\cup[\frac{5\pi}{4}; \frac{3\pi}{2}+2\pi n), n\in Z\)

Задание

Укажите решение неравенства \(\sin{x}\ge\frac{\sqrt{2}}{2}.\)

\([\frac{\pi}{4}+2\pi n; \frac{3\pi}{4}+2\pi n], n\in Z\)
\((\frac{\pi}{4}+2\pi n; \frac{3\pi}{4}+2\pi n), n\in Z\)
\([\frac{\pi}{4};\frac{\pi}{2} +2\pi n]\cup[\frac{5\pi}{4}; \frac{3\pi}{2}+2\pi n], n\in Z\)
\([\frac{\pi}{4};\frac{\pi}{2} +2\pi n)\cup[\frac{5\pi}{4}; \frac{3\pi}{2}+2\pi n), n\in Z\)