Question

if (1+tanA)(1+tanB)=2 Find the values of A+B

Answer 1

[math]1 + \tan A + \tan B + \tan A\tan B = 2 \Rightarrow \tan A\tan B + \tan A + \tan B = 1 \Rightarrow \tan A + \tan B = 1 - \tan A\tan B \Rightarrow \tan (A + B) = 1[/math]

[math]A+B=\frac{\pi}{4}+n\pi[/math]

Answer 2

you can see your answer