Question

решить уравнение корень из 3 sinx+sin2x 0

Answer 1

$\sqrt3 \sin x+\sin 2x = 0\\ \sqrt3 \sin x + 2\sin x\cos x = 0\\ \sin x (\sqrt3 + 2\cos x) = 0\\ \sin x = 0 \\ \cos x = - \frac{\sqrt3}{2} \\ x = 2\pi n, n \in \mathbb{Z}\\ x = \pm \frac{5\pi}{6} + 2\pi k, k \in \mathbb{Z}$