Вычислить: [tex]4 sin^{2} 75cos^{2}75-(sin^{2}75-cos^{2}75)=[/tex]

(2sin75*cos75)²+(cos²75-sin²75)=sin²150+cos150=(sin(π-30))²+cos(π-30)=sin²30-cos30=(1/2)²-√3/2=1/4-√3/2