Question

{Тригонометрия} Преобразовать в произведение.

Answer 1

$2\sqrt{3}-4sin \alpha =4\cdot ( \frac{\sqrt3}{2}-sin \alpha )=4\cdot (sin\frac{\pi}{3}-sin \alpha )=\\\\=8\cdot sin(\frac{\pi}{6}+\frac{ \alpha }{2})\cdot cos( \frac{\pi}{6}- \frac{ \alpha }{2} )$