prove that : arg(z1z2) = arg(z1) + arg(z2) Share with your friends Share 2 Nayan Moni Ramchiary answered this Prove that, art(z1z2) =arc(z1) +arc(z2) -3 View Full Answer Kavin Gabriel answered this z1 = r1(cos(t1) + i sin(t1)) z2 = r2 (cos(t2) + i sin(t2)) => z1 z2 = r1 r2 [(cos(t1) cos(t2) - sin(t1) sin(t2)) + i(cos(t1) sin(t2) + sin(t1) cos(t2))] = r1 r2 [cos(t1 + t2) + i sin(t1 + t2)] => arg(z1 z2) = t1 + t2 = arg(z1) + arg(z2). 1
