化简tanxtan2x/tan2x-tanx,所得结果是

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化简tanxtan2x/tan2x-tanx,所得结果是

化简tanxtan2x/tan2x-tanx,所得结果是
化简tanxtan2x/tan2x-tanx,所得结果是

化简tanxtan2x/tan2x-tanx,所得结果是
tanxtan2x/tan2x-tanx
=2tan^2x/1-tan^2x/2tanx-tanx(1-tan^2x)/1-tan^2
=2tan^2x/2tanx-tanx(1-tan^2x)
=2tan^2x/tanx+tan^3x
=2tanx/1+tan^2x
=(2sinx/cosx)/(1/cos^2x)
=2sinx/cosx*cos^2x
=2sinxcosx
=sin2x

tan2x
因为:
tan2x=2tanx/(1-tan^x)
因此,
原式
=[2tanx/(1-tan^x)]/[(2-1+tan^2x)/(1-tan^2x)]
=2tanx/(1-tan^2x)
=tan2x

(sinx*sin2x/cosx*cos2x)/(sin2x/cos2x-sinx/cosx)
=sinxsin2x/(sin2xcosx-sinxcos2x)
=sin2x

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