Question

1-2sin(x/3) < 0 Решите пожалуйста!

Answer 1

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