Question

If tan(A+B) =1 and tan (A-B) =1/root 3.then find the value of A andB

Answer 1

HEY MATE

HERE IS YOUR ANSWER

tan(A+B)=1

tan(A+B)=tan45°

A+B=45

tan(A-B)=1/√3

tan(A-B)=tan30

A-B=30

A+B+A-B=45+30

2A=75

A=75/2=37.5

B=45-A=45-37.5=7.5

Answer 2

tan(A+B)=1

→tan(A+B)=tan 45

→A+B=45------------(1)

tan(A-B)=1/√(3)

→Tan(A-B)=tan 30

→A-B=30---------------(2)

From (1) and (2)

2A=75

A=37.5

B=45-37.5=7.5

Thanks for asking questions and giving me opportunity to solve this question . Plz follow me and mark me as brainiest .