If sinA + sinB = a and cosA - cosB = b then, what is the value of tan A-B/2? Share with your friends Share 6 Lovina Kansal answered this Dear studentGiven: sinA+sinB=a ...(1)and cosA-cosB=b ..(2)from eq(1), we havesinA+sinB=a⇒2sinA+B2cosA-B2=a ...(3)and from eq(2), we havecosA-cosB=b⇒2sinA+B2sinB-A2=b ...(4)Dividing eq(4) by (3), we get⇒2sinA+B2sinB-A22sinA+B2cosA-B2=ba⇒sinB-A2cosA-B2=ba⇒-sinA-B2cosA-B2=ba⇒tanA-B2=-ba Regards 11 View Full Answer