ЕГЭ !!!с1!!!Много БАЛЛОВ !!!!!!!!!2sin^4(2x)+cos(4x)-1=0 Б) [2П;3П]

2sin^42x+1-2sin²2x-1=0 2sin^42x-2sin²2x=0 2sin²2x(sin²2x-1)=0 sin2x=0⇒2x=πn,n∈z⇒x=πn/2,n∈z 2π≤πn/2≤3π 4≤n≤6 n=4⇒x=2π n=5⇒x=5π/2 x=6⇒x=3π sin²2x=1 sin2x=-1⇒2x=-π/2+2πk,k∈z⇒x=-π/4+πk,k∈z 2π≤-π/4+πk≤3π 8≤-1+4k≤12 9≤4k≤13 9/4≤k≤13/4 k=3⇒x=-π/4+3π⇒x=11π/4 sin2x=1⇒2x=π/2+2πm,m∈z⇒x=π/4+πm,m∈z 2π≤π/4+πm≤3π 8≤1+4m≤12 7≤4m≤11 7/4≤m≤11/4 m=2⇒x=π/4+2π=9π/4