cot(π+θ)=2,则(3sinθ-cosθ)/(sinθ+cosθ)=?

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cot(π+θ)=2,则(3sinθ-cosθ)/(sinθ+cosθ)=?

cot(π+θ)=2,则(3sinθ-cosθ)/(sinθ+cosθ)=?
cot(π+θ)=2,则(3sinθ-cosθ)/(sinθ+cosθ)=?

cot(π+θ)=2,则(3sinθ-cosθ)/(sinθ+cosθ)=?
cot(π+θ)=2
cotθ = 2
cosθ = 2sinθ
(3sinθ-cosθ)/(sinθ+cosθ)
=(3sinθ-2sinθ)/(sinθ+2sinθ)
=sinθ/3sinθ
=1/3


cot(π+θ)=2
∴cotθ=2
(3sinθ-cosθ)/(sinθ+cosθ)——分子分母同时除以sinθ
=(3-cotθ)/(1+cotθ)
=(3-2)/(1+2)
=1/3