Question

УРАВНЕНИЕ!!!!!!!!!!!!!!

Answer 1

$sin\frac{x}{2}cos\frac{\pi }{3}-cos\frac{x}{2}sin\frac{\pi }{3} =\frac{1}{4}\\sin(\frac{x}{2}-\frac{\pi }{3})=\frac{1}{4}\\\frac{x}{2}-\frac{\pi }{3}=(-1)^narcsin\frac{1}{4}+\pi n\\\frac{x}{2}=(-1)^narcsin\frac{1}{4}+\frac{\pi }{3}+\pi n\\x=(-1)^n2arcsin\frac{1}{4}+\frac{2\pi }{3}+2\pi n$ ; n ∈ Z