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If a lt b lt c lt 0, prove that C o t^...

If `a lt b lt c lt 0`, prove that `C o t^(- 1)((a b+1)/(a-b))+Cot^(- 1)((b c+1)/(b-c))+C o t^(- 1)((c a+1)/(c-a))=pi`

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