Решите tg(pi\3-x\2)= -1\корень 3

Question

Решите tg(pi\3-x\2)= -1\корень 3

Answer 1

tg(π/3-x/2)= -1/√ 3
π/3 - х/2 = arctg(-1/√3)
π/3 - х/2 = -π/6 + πk , k ∈Z
-х/2 = -π/6 - π/3 + πk, k ∈Z
-х/2 = -3π/6 + πk , k ∈Z
-х/2 = -π/2+ πk , k ∈Z
х = π+ πk , k ∈Z