Question

ctg(x/2-π/3)=√3
Решите тригонометрическое уравнение

Answer 1

Решение
ctg(x/2 - π/3)=√3
x/2 - π/3 = arcctg√3 + πk, k ∈ Z
x/2 - π/3 = π/6 + πk, k ∈ Z
x/2 = π/6 + π/3 + πk, k ∈ Z
x/2 =  π/2 + πk, k ∈ Z
x = π + 2πk, k ∈ Z