Question

If (1+tanA)(1+tanB) =2, then A+B= ?​

Answer 1

Answer:

45°

Step-by-step explanation:

1 + tanA + tanB+tanA*tanB=2

tanA + tanB=1-tanA*tanB

tanA+tanB/tanA*tanB =1

tan(A+B)=1

A+B= tan inverse (1)

A+B=45°