sinθ(1+tanθ)+cosθ(1+cotθ)
=sinθ(1+sinθ/cosθ)+cosθ(1+cosθ/sinθ)
=sinθ(cosθ+sinθ)/cosθ +cosθ(sinθ+cosθ)/sinθ
=(cosθ+sinθ)(sin²θ+cos²θ)/(sinθcosθ)
=(cosθ+sinθ)/(sinθcosθ)
=1/cosθ+1/sinθ
化简sinθ(1+tanθ)+cosθ(1+cotθ)
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