Question

If tan ( A + B) = /3 and tan ( A - B) = 1//3, 0° < A + B <_90°, A> B then find the value of A and B

Answer 1

tan(A+B)=√3....(1)

tan(A-B)=1/√3..(2)

__________________

A+B=60

A-B=30

__________

2A=90

_________

A=90/2=45

put A in equation (1)

A+B=60

45+B=60

B=60-45

B=15