Question

If sin ( A - B ) = cos (A + B ) = 1/2 find A and B​

Answer 1

Answer:

sin ( A - B)=1/2

sin ( A - B)= sin 30° (1/2 = sin30° )

A-B =30°

cos (A + B ) = 1/2

cos (A + B ) = cos 60° (1/2 = cos60°)

A+B =60°

solving both equations (adding both)

A+B =60°

A-B =30°

2A=90

A=45°

so B = 15°