Тригонометрические уравнения cos(3пи/4-2x)=-1 ctg(pi/6-x/2)=-1

Question

Тригонометрические уравнения
cos(3пи/4-2x)=-1
ctg(pi/6-x/2)=-1

Answer 1

1)cos(3π/4-2x)=-1
sin(2x-π/4)=-1
2x-π/4=-π/4+2πn
2x=2πn
x=πn
2)ctg(π/6-x/2)=-1
tg(x/2+π/3)=-1
x/2+π/3=-π/4+πn
x=-7π/12+πn