Question

if sin ( A+B ) =1÷2 and cos (A-B) =1÷2, then find A and B

Answer 1

Sin(A+B) = 1/2 and cos(A-B) = 1/2

(A+B) = 30 and (A-B) = 60

A + B + A - B = 30 + 60

2A = 90

A = 45

B = 15