Решите уравнение: \(sin\ 2x+1=sinx+cosx.\) \(-\frac{\pi}{6}+\pi{n},\frac{\pi}{2}k+2{\pi}k,\pi{m},m,n,k{\in}Z\) \(-\frac{\pi}{4}+\pi{n},\frac{\pi}{2}k+2{\pi}k,2\pi{m},m,n,k{\in}Z\) \(\frac{\pi}{4}+\pi{n},\frac{\pi}{2}k+{\pi}k,2\pi{m},m,n,k{\in}Z\) \(-\frac{\pi}{4}+2\pi{n},\frac{\pi}{2}+2{\pi}k,\pi{m},m,n,k{\in}Z\) \(\pm\frac{\pi}{4}+\pi{n},\frac{\pi}{3}k+2{\pi}k,\pi{m},m,n,k{\in}Z\)

Задание

Решите уравнение: \(sin\ 2x+1=sinx+cosx.\)

\(-\frac{\pi}{6}+\pi{n},\frac{\pi}{2}k+2{\pi}k,\pi{m},m,n,k{\in}Z\)
\(-\frac{\pi}{4}+\pi{n},\frac{\pi}{2}k+2{\pi}k,2\pi{m},m,n,k{\in}Z\)
\(\frac{\pi}{4}+\pi{n},\frac{\pi}{2}k+{\pi}k,2\pi{m},m,n,k{\in}Z\)
\(-\frac{\pi}{4}+2\pi{n},\frac{\pi}{2}+2{\pi}k,\pi{m},m,n,k{\in}Z\)
\(\pm\frac{\pi}{4}+\pi{n},\frac{\pi}{3}k+2{\pi}k,\pi{m},m,n,k{\in}Z\)