Question

If tan(A - B) =1/√3
and cos A=1/2
where A, B are acute angles. Then find the measure of angle B.​

Answer 1

COS A =1/2

COS A= COS 60

A=60

TAN (A - B) =1/√3

TAN (A - B) = TAN 30

A-B=30

60-B=30

B=60-30=30