2除以sin2θ+cos(π+θ)除以cos(π除以2-θ)化简

来源：学生作业帮编辑：神马作文网作业帮分类：数学作业时间：2024/11/18 02:16:43

2除以sin2θ+cos(π+θ)除以cos(π除以2-θ)
=2/sin2θ+cos(π+θ)/cos(π/2-θ)
=2/sin2θ-cosθ/cos(π/2-θ)
=2/sin2θ-cosθ/sinθ
=2/sin2θ-2cosθcosθ/2sinθcosθ
=2/sin2θ-2cos^2θ/sin2θ
=(2-2cos^2θ)/sin2θ
=2(1-cos^2θ)/sin2θ
=2sin^2θ/sin2θ
=2sin^2θ/2sinθcosθ
=sinθ/cosθ
=tanθ

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