Ctg^2a-tg^2a \ 1-tg^2a=(cos^2a\sin^2):(1-sin^2\cos^2)=sin^2a*cos^2a-sin^2a*cos^2\sin^2a*cos^2a:cos^2a-sin^2a\cos^2a=sin^2a*cos^2a-sin^2a*cos^2a\sin^2a*cos^2a * cos^2a\cos^2a-sin^2a=cos^2a-sin^2a\sin^2a*cos^2 * cos^2a\cos^2a-sin^2a=cos^2a\sin^2a*cos^2a=sin^2a.