Question

iF A and B are acute angles such that tan A = 1/3, tan B = 1/2and
tan (A+B) = tan Atan B /1-tan A Tan B show that A + B = 45.
plzee help me fast ans step by step..

​

Answer 1

Answer:

We have tan(a+b) =tana+tanb/1-tana × tanb

tan(a+b) =1/2+1/3÷1-1/2×1/3

5/6÷5/6

5/6×6/5

=1

tan(a+b) =then 45°......since tan 45°=1

=a+b=45°