Question

if A+B=45 then show tha (1+tanA)(1+TanB) and value of tan45°/2

Answer 1

here is your answer
tan(A+B)=45
tan A+ tan B/1 - tan A tan B=1
tan A + tan B =1 - tan A.tanB
tanA+tanB+tanA.tanB=1
both side add 1
1+tanA+tanB+tanA.tanB=1+1
(1+tanA)+tanB(1+tanA)=2
(1+tanA)(1+tanB)=2

Hence Prooved

hope it will help you bro!