Question

if A+B=45 Show that (1+TanA)(1+TanB)=2

Answer 1

hey dear here is your answer




hope it helps you

Answer 2

Here is your solution

Given :-

A+B = 45°

To Prove:-

(1+tanA)(1+tanB)=2 

L.H.S 

tan (A+B)=tan A+tanB/1-tanAtanB 

=>tan45=tanA+tanB/1-tanAtanB 

=>1-tanAtanB=tanA+tanB 

=>2=1+tanA+tanB+tanAtanB 

=>2=(1+tanA)(1+tanB) 

Hence ,Proved