Решите уравнение: \(\large\sin^2{x}-5\cos^2{x}=2\sin{2x}\) \(\large\mathtt{x=-\frac{\pi}{4}+\pi{n}, n\in{Z}; x=\arctg{5}+\pi{n}, n\in{Z}}\) \(\large\mathtt{x=-\frac{\pi}{4}+\pi{n}, n\in{Z}}\) \(\large\mathtt{x=-\frac{\pi}{4}+2\pi{n}, n\in{Z}; x=\arctg{5}+2\pi{n}, n\in{Z}}\)

Задание

Решите уравнение: \(\large\sin^2{x}-5\cos^2{x}=2\sin{2x}\)

\(\large\mathtt{x=-\frac{\pi}{4}+\pi{n}, n\in{Z}; x=\arctg{5}+\pi{n}, n\in{Z}}\)
\(\large\mathtt{x=-\frac{\pi}{4}+\pi{n}, n\in{Z}}\)
\(\large\mathtt{x=-\frac{\pi}{4}+2\pi{n}, n\in{Z}; x=\arctg{5}+2\pi{n}, n\in{Z}}\)