(tg2x-1)(2cosx+1)=0. решите уравнение

Question

(tg2x-1)(2cosx+1)=0.
решите уравнение

Answer 1

Tg2x=1
2x=π/4+2πn, n∈Z
x=π/8+πn
2x=5π/4+2πn
x=5π/8+πn

2cosx=-1
cosx=-1/2
x=2π/3+2πn
x=4π/3+2πn