\(\sin(2x-\frac{\pi}{3})=\frac{1}{2}\) \(\frac{\pi}{6}+(-1)^n\cdot\frac{\pi}{12}+\frac{\pi n}{2},n\in Z\) \(\frac{\pi}{6}+(-1)^n\cdot\frac{\pi}{6}+\pi n,n\in Z\) \(\frac{\pi}{6}+(-1)^n\cdot\frac{\pi}{12}+\pi n,n\in Z\) \(\frac{\pi}{6}+(-1)^n\cdot\frac{\pi}{12}+2\pi n,n\in Z\)

Задание

Решите уравнение:

\(\sin(2x-\frac{\pi}{3})=\frac{1}{2}\)

\(\frac{\pi}{6}+(-1)^n\cdot\frac{\pi}{12}+\frac{\pi n}{2},n\in Z\)
\(\frac{\pi}{6}+(-1)^n\cdot\frac{\pi}{6}+\pi n,n\in Z\)
\(\frac{\pi}{6}+(-1)^n\cdot\frac{\pi}{12}+\pi n,n\in Z\)
\(\frac{\pi}{6}+(-1)^n\cdot\frac{\pi}{12}+2\pi n,n\in Z\)