VMO 1969 Problem 2

Find all real $x$ such that $0 < x < \pi$ and $\frac{8}{3 sin x - sin 3x} + 3 sin^2x \le 5$ .

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.