Задание

\[\text{Решите уравнение }3\sin^2{x}+\sin{x}\cos{x}=2\cos^2{x}\]

\[x=-\frac{\pi}{4}+\pi n, n\in Z; x=\arctg{\frac{2}{3}}+\pi k, k\in Z\]

\[x=\frac{\pi}{4}+\pi n, n\in Z; x=-\arctg{\frac{2}{3}}+\pi k, k\in Z\]

\[x=\frac{\pi}{3}+\pi n, n\in Z; x=\arctg{\frac{3}{2}}+\pi k, k\in Z\]

\[x=\frac{\pi}{4}+2\pi n, n\in Z\]