Question

Помогите решить: ctg 4x=√3

Answer 1

$\text{ctg}4x = \sqrt{3}$

ОДЗ: $x \neq \dfrac{\pi n}{4}, \ n \in Z$

$4x = \text{arcctg}\sqrt{3} + \pi n, \ n \in Z \\\\4x = \dfrac{\pi}{6} + \pi n, \ n \in Z\\\\x = \dfrac{\pi}{24} + \dfrac{\pi n}{4}, \ n \in Z$