Question

if Sin A minus b equal to 1 by 2 and Cos A + B equal to 1 by 2 find a and b​

Answer 1

sinA-B=1/2

=>sinA-B=sin30°

=>A-B=30°•••••••>(i)

Also,cosA+B=1/2

=>cosA+B=cos60°

=>A+B=60°••••••••>(ii)

By adding eq.(i)&(ii),we get

A-B+A+B=30°+60°

=>2A=90°

=>A=45°

Substituting the value of A in eq.(ii)

=>A+B=60°

=>45°+B=60°

=>B=60°-45°

=>B=15°

Therefore the value of A is 45° and the value of B is 15°.............