化简:cos^2θcotθ+sin^2θtanθ+2cosθsinθ

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化简:cos^2θcotθ+sin^2θtanθ+2cosθsinθ化简:cos^2θcotθ+sin^2θtanθ+2cosθsinθ化简:cos^2θcotθ+sin^2θtanθ+2cosθsi

化简:cos^2θcotθ+sin^2θtanθ+2cosθsinθ
化简:cos^2θcotθ+sin^2θtanθ+2cosθsinθ

化简:cos^2θcotθ+sin^2θtanθ+2cosθsinθ
原式=cos^3θ/sinθ+sin^3θ/cosθ+2cosθsinθ
=(cos^4θ+sin^4θ)/(sinθcosθ) +2cosθsinθ
=(cos^4θ+sin^4θ+2cos²θsin²θ)/(sinθcosθ)
=(cos²θ+sin²θ)²/(sinθcosθ)
=1/(sinθcosθ)