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

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

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

((1+cos2α)/(3sin2α))*((2sin^2(α))/cos2α)的化简
((1+cos2α)/(3sin2α))*((2sin^2(α))/cos2α)
=(2sin^2a)/(6sinαcosa)*((2sin^2(α))/cos2α)
=(2sin^3a)/(3cosa*cos2α)

[(1+cos2α)/(3sin2α)][2(sinα)^2/cos2α)]
=[2(cosα)^2/(6sinαcosα)][2(sinα)^2/cos2α)]
=(2/3)cosαsinα/(cos2α)
=(1/3)sin2α/cos2α
=(1/3)tan2α