Find the quotient z1z2 in polar form z1 54 cis 5 pi3 z2 9

Find the quotient z_1/z_2 in polar form. z_1 = 54 cis (5 pi/3) z_2 = 9 cis (pi/3)

Solution

given z₁=54 cis(5_/3),z₂=9 cis(_/3)

z₁/z₂=(54 cis(5_/3))/(9 cis(_/3))

z₁/z₂=(54_/9) cis((5_/3)-(_/3))

z₁/z₂=6cis(4_/3)