Question

Помогите решить: ctg 4x=√3

Answer 1

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

ОДЗ: $x neq dfrac{pi n}{4}, n in Z$

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