Trigonometric Forms of Complex Numbers | Start This mystery object may be Home -

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Trigonometric Forms of Complex Numbers | Start This mystery object may be Home - vy Tech Communit OAHF OAH-Fal webassign.net/web/Student/Assignment-Responses/submit?depe 1 6670849#022 22. 0.15/0.31 points 1 Previous Ans Use trigonometric forms to find z1z2 and z/z2. (Enter your answers in the form a + bi.) TG13 Need Help? Talk to a Tutor rogress Practice Another Version 23.0.310.31 points | Previous Answers SWoKATG13 8.5 066 use trigonometric forms to find /, z: and //za. (Enter your answers in the form a + bi.)

Explanation / Answer

z1 = 2 23i
z1 = -4*(1/2 + i3/2)
z1 = -4*e^(i/3)

z2 = 5i = 5e^(i/2)
therefore

z1 z2 = -20*e^( i(1/3 + 1/2))

z1 z2 = -20*e^(i 5/6) = 103 – 10i

and

z1/z2 = -4/5*e^(i (1/3 - 1/2))

z1/z2 = -4/5*e^(-i /6) = -(23)/5 + (2/5)i

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