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If tanA+tanB+tanC=tanAtanBtanC then...

If `tanA+tanB+tanC=tanAtanBtanC` then

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Here ,`A+B+C=pi`
`implies (A+B)=(pi-C)`
`tan (A+B)=tan(pi-C)`
`implies tan(tan A+tan B)/(1-tan A tan B)=-tanC`
`implies tan A + tan B=-tan C+tan A tan B tan C`
`implies tanA+ tan B+tan C=tanA tan B tan C.`
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