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4⋅(tg(π−x)+ctg(π−x)+ctg(3π2−x))/ctg(π−x)

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tan( \pi -x)=-tan(x) \\ cot( \pi -x)= -cot(x) \\ cot( (3 \pi )/(2) -x)=tan(x) \\ \\ \\ (tan( \pi -x)+cot( \pi -x)+cot( (3 \pi )/(2) -x))/(cot( \pi -x)) = (-tan(x)-cot(x)+tan(x))/(-cot(x)) = (-cot(x))/(-cot(x)) =1
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