试化简 2/(1+cotθ)(1-tanθ)
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试化简 2/(1+cotθ)(1-tanθ)
试化简 2/(1+cotθ)(1-tanθ)
试化简 2/(1+cotθ)(1-tanθ)
原式=2/(1-tanθ+cotθ-cotθtanθ)
=2/(1-sinθ/cosθ+cosθ/sinθ-1)
=2/[(cos²θ-sin²θ)/sinθcosθ]
=2sinθcosθ/(cos²θ-sin²θ)
=sin2θ/cos2θ
=tan2θ
2/[1+(cosθ/sinθ)][1-(sinθ/cosθ)]
=2/[(sinθ+cosθ)/sinθ][(cosθ-sinθ)/cosθ]
=2sinθcosθ/[cos²θ-sin²θ]
=[sin2θ]/[cos2θ]
=tan2θ
2/(1+cotθ)(1-tanθ)
=2/(1+cosθ/sinθ)(1-sinθ/cosθ)
=2/[(sinθ+cosθ)/sinθ][(cosθ-sinθ)/cosθ]
=2/[(cos²θ-sin²θ)/sinθcosθ]
=2sinθcosθ/(cos²θ-sin²θ)
=sin2θ/cos2θ
=tan2θ
试化简 2/(1+cotθ)(1-tanθ)
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