Sin(x/2 -П/8)*(tgx-1)=0

Question

Sin(x/2 -П/8)*(tgx-1)=0

Answer 1

Sin (x/2 - π/8) = 0 или tg x-1 =0
x/2 - π/8 = πn              tg x = 1
x/2 = π/8 +πn              x = π/4 + πk
x = 2π/8 + 2πn
x = π/4 + 2πn