Question

A+B=pai/4,then (tan A+1)(tan B+1) =
​

Answer 1

A+B=pi/4

apply tan on both sides

tan(A+B)=tan pi/4

tanA+TanB/1-tanAtanB=1

tan A + tanB=1-tanAtanB

tanA +tan B+tan A tanB=1. let this be equation 1

now,

(1+tanA)(1+tan B)=1+tanA+tanB+tanAtanB

=1+1(from eq 1)

=2

I hope u will understand.....

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