Решение tg(2x-п/3)=1

Question

Решение tg(2x-п/3)=1

Answer 1

Tg(2x-π/3)=1
2x-π/3=arctg1+πk,  k∈Z
2x-π/3=π/4+πk,  k∈Z
2x=π/3+π/4+πk,  k∈Z
2x=7π/12+πk,   k∈Z
x=7π/24+πk/2,   k∈Z    ответ: x=7π/24+πk/2,   k∈Z