Question

sin(A-B)=Cos(A+B)=½find Aand B​

Answer 1

sin(A - B) = 1/2

sin(A - B) = sin 30°

A - B = 30° ..........(1)

cos(A + B) = 1/2

cos(A + B) = cos 60°

A + B = 60 ..........(2)

Add (1) and (2)

We get,

2A = 90°

A = 45°

From (1),

A - B = 30°

45° - B = 30°

B = 45° - 30°

B = 15°