Question

anyone Please help me to do it...I destroyed 3 pages for this sum.. still I can't do it​

Answer 1

tan A=1/2,tan B=1/3 or tanA=-2,tan B=-3;

now we take, tan A=1/2,tan B=1/3

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

=(1/2+1/3)/1-1/2*1/3

=(5/6)/(5/6)

=1

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

=(1/2-1/3)/(1+1/2*1/3)

=(1/6)/(7/6)

=1/7

is true for the values tanA=1/2;tanB=1/3.