化简[cot(θ+4π)cos(θ+π)sin²(θ+3π)]/[tan(π+θ)cos²(-π-θ)]

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化简[cot(θ+4π)cos(θ+π)sin²(θ+3π)]/[tan(π+θ)cos²(-π-θ)]化简[cot(θ+4π)cos(θ+π)sin²(θ+3π)]/[

化简[cot(θ+4π)cos(θ+π)sin²(θ+3π)]/[tan(π+θ)cos²(-π-θ)]
化简[cot(θ+4π)cos(θ+π)sin²(θ+3π)]/[tan(π+θ)cos²(-π-θ)]

化简[cot(θ+4π)cos(θ+π)sin²(θ+3π)]/[tan(π+θ)cos²(-π-θ)]
原式=(-cotθcosθsin²θ)/(tanθcos²θ)
=(-cotθsin²θ)/(tanθcosθ)
=(-cotθsinθtanθ)/tanθ
=-cotθsinθ
=-cosθ

[cot(θ+4π)cos(θ+π)sin²(θ+3π)]/[tan(π+θ)cos²(-π-θ)] =[cot(θ+4π)(-cosθ)sin²θ]/[tanθcos²θ]
=-cot(θ+4π)=(tanθ-1)/(1+tanθ)

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