Question

Задача 3 помогите решение и ответ пожалуйста срочно

Answer 1

$tg(2x+\frac{\pi }{6})>-\sqrt{3}\\\\-\frac{\pi }{3}+\pi n< 2x+\frac{\pi }{6} <\frac{\pi }{2}+\pi n,n\in Z\\\\-\frac{\pi }{3} -\frac{\pi }{6}+\pi n<2x+\frac{\pi }{6}-\frac{\pi }{6}<\frac{\pi }{2}-\frac{\pi }{6}+\pi n,n\in Z \\\\-\frac{\pi }{2}+\pi n<2x<\frac{\pi }{3}+\pi n,n\in Z \ |:2\\\\-\frac{\pi }{4}+\frac{\pi n }{2} <x<\frac{\pi }{6} +\frac{\pi n }{2},n\in Z\\\\Otvet:\boxed{x\in(-\frac{\pi }{4}+\frac{\pi n }{2};\frac{\pi }{6}+\frac{\pi n }{2}),n\in Z}$