if-a-b-c-pi-tanA-tanB-tanC-tanA-tanB-tanC-FAILED-TO-CALCULATE-

Question Number 143890 by pandu last updated on 19/Jun/21

i f a + b + c = π

t a n A + t a n B + t a n C = t a n A . t a n B . t a n C

FAILED TO CALCULATE

Answered by justtry last updated on 19/Jun/21

Answered by bobhans last updated on 19/Jun/21

a + b = π - c

\Rightarrow \frac{\tan a + \tan b}{1 - \tan a . \tan c} = - \tan c

\Rightarrow \tan a + \tan b = - \tan c + \tan a \tan b \tan c

\Rightarrow \tan a + \tan b + \tan c = \tan a . \tan b . \tan c

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