化简[sin(π-α)tan(5π/2+α)]/[cos(2π-α)cot(π/2-α)]分后给

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化简[sin(π-α)tan(5π/2+α)]/[cos(2π-α)cot(π/2-α)]
分后给

[sin(π-α)tan(5π/2+α)]/[cos(2π-α)cot(π/2-α)]
=-[sinαcotα]/(cosαtanα)
=-sinα/cosα*(cotα/tanα)
=-tanα*cotα/tanα
=-cotα

cotα

sin(π-α)tan(5π/2+α)]/[cos(2π-α)cot(π/2-α)]