Тригонометрия!!!!!!!!!
=(2cos^2(2a)-sin^2(2a)-cos^2(2a)+sqrt(3)sin4a)/(2sin^2(2a)-sin^2(2a)-cos^2(2a)+sqrt(3)sin4a))=
=(cos4a+sqrt(3)sin4a)/(sqrt(3)sin4a-cos4a)=sin(п/6+4a)/sin(4a-П/6)
sin(4x + π/6) = sin4xcosπ/6 + cos4xsinπ/6 = sin4x + cos4x/2.
cos4x = 2 - 1.
sin(4x + π/6) = (2 + sin4x -1)/2.
sin(4x - π/6) = sin4xcosπ/6 - cos4xsinπ/6 = sin4x - cos4x/2.
cos4x/2 = 1 - 2.
sin(4x - π/6) = (2 + sin4x - 1)/2.
(2 + sin4x -1)/2)/(2 + sin4x - 1)/2) =
(2 + sin4x -1)/(2 + sin4x - 1).