Question

1-2sin(x/3) < 0 Решите пожалуйста!

Answer 1

$1-2sin\frac{x}{3}\ \textless \ 0\\\\2sin \frac{x}{3}\ \textgreater \ 1\\\\sin \frac{x}{3}\ \textgreater \ \frac{1}{2}\\\\\frac{\pi }{6}+2\pi n\ \textless \ \frac{x}{3}\ \textless \ \frac{5\pi }{6}+2\pi n\; ,\; \; n\in Z\\\\\frac{\pi}{2}+6\pi n\ \textless \ x\ \textless \ \frac{5\pi }{2}+6\pi n\; ,\; \; n\in Z$