If A+B= C, then write the value of tan A tanB tanC.

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Solution

We have,
A+B=C
$\Rightarrow t a n (A + B) = t a n C$
$\Rightarrow \frac{t a n A + t a n B}{1 - t a n A t a n B} = t a n C$
$\Rightarrow t a n A + t a n B = t a n C - t a n A t a n B t a n C$
$\Rightarrow t a n A t a n B t a n C = t a n C - t a n A - t a n B$

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