求证cos2a/(1/tana/2-tana/2)=1/4sin2a

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求证cos2a/(1/tana/2-tana/2)=1/4sin2a
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求证cos2a/(1/tana/2-tana/2)=1/4sin2a
求证cos2a/(1/tana/2-tana/2)=1/4sin2a

求证cos2a/(1/tana/2-tana/2)=1/4sin2a
cos(2a)/[1/tan(a/2)-tan(a/2)]
=cos(2a)/[cot(a/2)-tan(a/2)]
=cos(2a)/{[cos^2(a/2)-sin^2(a/2)]/[sin(a/2)cos(a/2)]}
=cos(2a)/[cosa/(sina/2)]
=sinacos(2a)/(2cosa)
cos2a应该是cos^2(a)
cos^2(a)/[1/tan(a/2)-tan(a/2)]
=sinacos^2(a)/(2cosa)=sinacosa/2=sin(2a)/4