Question

if A +B = C then write the value of tan A tan B Tan c ​

Answer 1

A + B = C

taking function of tan both sides ,

=> tan (a+b) = tan c

we know that , tan(a+b) =

(tan a + tan b ) / (1 - tan a tan b )

=>( tan a + tan b) / (1 - tan a tan b )= tan c

=> cross multiply , we get ,

=> tan a + tan b = tan c - tan a tan b tan c

=> tan a tan b tan c = tan c - tan a - tan b

Answer 2

Given that :

A+B = C

On taking tan both the side :

tan(A+B) = tanC

As we know that : tan(A+B) = tanA+tanB/(1-tanAtanB)

=> tanA+tanB/1-tanAtanB = tanC

=> tanA+tanB = tanC-tanAtanBtanC

=> tanAtanBtanC = tanC-tanB-tanA

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