化简:(sin2α+cos2α-1)(sin2α-cos2α+1)/sin4α

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化简:(sin2α+cos2α-1)(sin2α-cos2α+1)/sin4α化简:(sin2α+cos2α-1)(sin2α-cos2α+1)/sin4α化简:(sin2α+cos2α-1)(sin

化简:(sin2α+cos2α-1)(sin2α-cos2α+1)/sin4α
化简:(sin2α+cos2α-1)(sin2α-cos2α+1)/sin4α

化简:(sin2α+cos2α-1)(sin2α-cos2α+1)/sin4α
(sin2α+cos2α-1)(sin2α-cos2α+1)/sin4α
=(2sinαcosα-2sin²α)(2sinαcosα+2sin²α)/(2sin2αcos2α)
=4sin²α(cosα-sinα)(cosα+sinα)/(4sinαcosαcos2α)
=sinα(cos²α-sin²α)/(cosαcos2α)
=sinαcos2α/(cosαcos2α)
=sinα/cosα
=tanα