证明:(1-cos4α)/sin4α*cos2α/(1+cos2α)=tanα

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证明:(1-cos4α)/sin4α*cos2α/(1+cos2α)=tanα
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证明:(1-cos4α)/sin4α*cos2α/(1+cos2α)=tanα
证明:(1-cos4α)/sin4α*cos2α/(1+cos2α)=tanα

证明:(1-cos4α)/sin4α*cos2α/(1+cos2α)=tanα
(1-cos4α)/sin4α*cos2α/(1+cos2α)
=2(sin2α)^2/(2sin2αcos2α)*cos2α/(1+cos2α)[(sin2α)^2表示sin2α的平方]
=sin2α/(1+cos2α)
=2sinαcosα/[2(cosα)^2]
=tanα