((1+cos2α)/(3sin2α))*((2sin^2(α))/cos2α)的化簡

((1+cos2α)/(3sin2α))*((2sin^2(α))/cos2α)的化簡

((1+cos2α)/(3sin2α))*((2sin^2(α))/cos2α)
=(1+2cos²;a-1)/(3sin2a)×2sin²;a/cos2a
=4sin²;acos²;a/3sin2acos2a
=sin²;2a/3sin2acos2a
=tan2a/3