sin квадрат x+sinxcosx=2cos квадрат x

[tex]sin^2x-sinxcosx-2cos^2x | : cos^2x \\x \neq 0\\ \\tg^2x+tgx-2=0 \\ t=tgx \\ t_1 = -2 \\ t_2 = 1 \\ \\x \neq \frac{\pi}{2}\\\\ tg(x) = -2 \\ x = arctg(-2) + \pi n, n \to Z \\\\ tg(x) = 1 \\ x = \frac{\pi}{4} + \pi n, n \to Z [/tex]