Question

If sin(A + B) = 1 and sin (A-B) = 1/2, 0 ≤ A + B≤ 90oand A > B, then find A and B.

Answer 1

sin(A + B) = 1 = sin 90o

A + B = 90o ........(i)

sin (A-B) = 1/2 = sin 30o

A - B = 30o ........(ii)

Solving eq. (i) and (ii),

A = 60o and B = 30o