sin^2A+cos^2A=1, cos2a=cos^2A-sin^2A.
sin2a/1+cos2a=(2cosAsinA)/(sin^2A+cos^2A-sin^2A+cos^2A)=2cosAsinA/2cos^2A=
=cosAsinA/cos^2A=sinA/cosA=tgA
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sin^2A+cos^2A=1, cos2a=cos^2A-sin^2A.
sin2a/1+cos2a=(2cosAsinA)/(sin^2A+cos^2A-sin^2A+cos^2A)=2cosAsinA/2cos^2A=
=cosAsinA/cos^2A=sinA/cosA=tgA