Question

if sin (A-B ),=1/2,COS(A+B),=1/2 THEN FIND THE VALUE OF A AND B

Answer 1

Sin (A-B) = ½
Sin (A-B) = sin 30°
A-B = 30° ---(1)

cos (A+B) = ½
cos (A+B) = cos 60°
A+B = 60° ---(2)

A-B = 30°
A+B = 60°
–––––––
2A = 90°
A = 45°


A-B = 30°
45° - B = 30°
B = 45° - 30°
B = 15°

A = 45° and B = 15°