tg2x=sin2x/cos2x
sin2x cos6x-sin6x cos2x - sin4x cos2x
= 0 ОДЗ: 2х≠π/2+πn, n∈Z
cos2x x≠π/4+πn/2
sin(-4x)-sin4x cos2x=0, -sin4x-sin4x cos2x=0
sin4x(1+cos2x)=0
a)sin4x=0, 4x=πk, x=πk/4, k∈Z не входит в ОДЗ
b) cos2x=-1, 2x=π+2πm, x=π/2+πm, m∈Z
tg2x=sin2x/cos2x
sin2x cos6x-sin6x cos2x - sin4x cos2x
= 0 ОДЗ: 2х≠π/2+πn, n∈Z
cos2x x≠π/4+πn/2
sin(-4x)-sin4x cos2x=0, -sin4x-sin4x cos2x=0
sin4x(1+cos2x)=0
a)sin4x=0, 4x=πk, x=πk/4, k∈Z не входит в ОДЗ
b) cos2x=-1, 2x=π+2πm, x=π/2+πm, m∈Z