Given two complex numbers z1 r1 (cos 1 i sin 1) and z2 r2 (cos 2 i sin 2), z2 0, show that z1 z2 r1 r2 cos (1 2) i sin (1 2)

Question: Given two complex numbers z1 = r1 (cos 1 + i sin 1) and z2 = r2 (cos 2 + i sin 2), z2

Given two complex numbers z1 = r1 (cos θ1 + i sin θ1) and z2 = r2 (cos θ2 + i sin θ2), z2 ≠ 0, show that z1 / z2 = r1 / r2 [cos (θ1 θ2) + i sin (θ1 θ2)].

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