Ответ:

Решение

Ctg(3x - pi / 3) = sqrt(3)

3x - pi / 3 = arCctg * sqrt(3) + Pi*k k in Z

3x - pi / 3 = pi / 6 + pi*k k in Z

3x = pi / 6 + pi / 3 + pi*k k in Z

3x = Pi / 2 + Pi*k , k in Z

x = Pi / 6 + pi*k / 3 , k in Z