Срешением ! sin2xsin6x-cos2xcos6x=√2sin3xcos8x

-cos(6x+2x)=√2sin3xcos8x
√2sin3xcos8x+cos8x=0
cos8x(√2sin3x+1)=0
cos8x=0⇒8x=π/2+πn⇒x=π/16+πn/8,n∈z
sin3x=-1/2⇒3x=(-1)^(k+1)π/4+πk⇒x=(-1)^(k+1)*π/12+πk/3,k∈z