化简cos^4x-2sinxcosx-sin^4x

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化简cos^4x-2sinxcosx-sin^4x化简cos^4x-2sinxcosx-sin^4x化简cos^4x-2sinxcosx-sin^4x(cosx)^4-2sinxcosx-(sinx)

化简cos^4x-2sinxcosx-sin^4x
化简cos^4x-2sinxcosx-sin^4x

化简cos^4x-2sinxcosx-sin^4x
(cosx)^4-2sinxcosx-(sinx)^4
=(cosx)^4-(sinx)^4-2sinxcosx
=[(cosx)^2-(sinx)^2][(cosx)^2+(sinx)^2]-2sinxcosx
=[(cosx)^2-(sinx)^2]-2sinxcosx
=cos2x-sin2x