Решите уравнение: \(sin^2x-3sinxcosx+2cos^2x=0.\) \(arctg2+\pi{n},n\in{Z}, \frac{\pi}{4}+\pi{k},k\in{Z}\) \(-arctg2+\pi{n},n\in{Z}, \frac{\pi}{4}+\pi{k},k\in{Z}\) \(arctg2+\pi{n},n\in{Z}, \frac{\pi}{3}+\pi{k},k\in{Z}\) \(arctg0,5+\pi{n},n\in{Z}, \frac{\pi}{4}+\pi{k},k\in{Z}\)

Задание

Решите уравнение: \(sin^2x-3sinxcosx+2cos^2x=0.\)

\(arctg2+\pi{n},n\in{Z}, \frac{\pi}{4}+\pi{k},k\in{Z}\)
\(-arctg2+\pi{n},n\in{Z}, \frac{\pi}{4}+\pi{k},k\in{Z}\)
\(arctg2+\pi{n},n\in{Z}, \frac{\pi}{3}+\pi{k},k\in{Z}\)
\(arctg0,5+\pi{n},n\in{Z}, \frac{\pi}{4}+\pi{k},k\in{Z}\)