cosx-sinx 接下去怎么化简

\u5316\u7b80:(1+cosx-sinx)/(1-cosx-sinx)+(1-cosx-sinx)/(1+cosx-sinx)

(1+cosx-sinx)/(1-cosx-sinx)+(1-cosx-sinx)/(1+cosx-sinx)
=[(1+cosx-sinx)(1+cosx+sinx)]/[(1-cosx-sinx)(1+cosx+sinx)]
+[(1-cosx-sinx)(1-cosx+sinx)]/[(1+cosx-sinx)(1-cosx+sinx)]

=(1+2cosx+cos2x)/(-sin2x)+(1-2cosx+cos2x)/(sin2x)

=(-4cosx)/sin2x

=-2/sinx

\uff08sinx+cosx\uff09*\uff08sinx+cosx\uff09+sinx-cosx*cosx
=\uff08sinx\uff09^2+\uff08cosx\uff09^2+2sinxcosx+sinx-cosx*cosx
=\uff08sinx\uff09^2+2sinxcosx+sinx
=\uff08sinx\uff09^2+sin2x+sinx

根号2倍 cos（x+π/4）

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