If A + B = C, then tan A tan B tan C = ?
Answer & explanation
Correct answer: option 4
As , A + B = C
Multiplying tan on both sides,
tan(A+B)=tanC
\(\frac{tanA + tanB}{1 - tanA . tanB}\) = tanC
tanA + tanB = tanC (1−tanA . tanB)
tanA + tanB = tanC − tanA . tanB . tanC
tanA . tanB . tanC = tanC−tanA−tanB