Question

Is A+B=45° then show that (1+tanA)(1+tanB) =2 then find value of tan(22½°)

Answer 1

Step-by-step explanation:

A + B = 45° => tan(A+B) = tan45°

2 = (1+tanA)(1+tanB)

2 = 1 + tan A + tan B + tanA.tanB ---- ( should prove)

tan (A+B) = tanA + tanB / 1 - tanA.tanB

tan45 = ". "

1 = tanA + tanB / 1 - tanA.tanB

1+1 - tanA.tanB = tanA+ tanB

2 = tan A + tan B + tanA.tanB --- hence proved :);)

plz mark as BRANIEST