Question

решить неравенство: ctg х < - sqrt(3)

Answer 1

$Ctgx<-\sqrt{3}\\\\arcCtg(-\sqrt{3})+\pi n<x<\pi +\pi n,n\in Z\\\\\frac{5\pi }{6}+\pi n<x<\pi + \pi n,n\in Z\\\\\boxed{x\in(\frac{5\pi }{6}+\pi n \ ; \ \pi +\pi n),n\in Z}$