Question

if sin(A-B)=1/2cos(A+B)=1/2then find the value of A and B

Answer 1

Cos(A+B) = 1/2 ⇒cos (A+B) = cos(60) (as 0<A +B<90) ⇒A+B = 60 sin(A-B) = 1/2 ⇒sin(A-B) = sin(30) or sin (150) ⇒A-B = 30 or 150