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cotA*cotB*cotC = 1/[tanA+tanB+tanC]

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Q: If in a triangle tanA plus tanB plus tanC equals 0 then cotAcotBcotC equals?
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If tanA plus tanB plus tanC equals 0 then cotA plus cotB plus cotC equals?

It is (tanA+tanB)/{tanA*tanB} - 1/(tanA+tanB)


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