Question

IF TAN [A-B] = 1/ ROOT 3 AND TAN [A+B] = 1 THEN FIND THE VALUE OF A AND B

Answer 1

Answer:

value of A = 60 and B = 30

we know that tan 90 = 1

so, tan (60+ 30) = 1 and tan (60 - 30) = 1/ root 3

Answer 2

Answer:

tan(A-B)=1/√3

=>tan(A-B)=tan30°

=>A-B=30°......(1)

tan(A+B)=1

=>tan(A+B)=tan45°

=>A+B=45°.......(2)

Adding (1) and (2)

A-B+A+B=30+45

=>2A=75

=>A=75/2=37.5

From (1)

A-B=30

=>37.5-B=30

=>B=7.5