SOLUTION: Let z1 = 1 - i√3 and z2 = -1 + i√3. a) Express z1z2 in rectangular form. b) Express z1, z2, and z1z2 in polar form. c) Show that your answers to Part A and Part B are the sa

Question 1138181: Let z1 = 1 - i√3 and z2 = -1 + i√3.
a) Express z1z2 in rectangular form.
b) Express z1, z2, and z1z2 in polar form.
c) Show that your answers to Part A and Part B are the same.
Make sure to show work.

Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

(a)

(b)

z1 = 1-1*sqrt(3):

(because z1 is in quadrant IV)
z1 = (2,-pi/3)

z2 = -1+i*sqrt(3):

(because z2 is in quadrant II)
z1 = (2,2pi/3)

z1*z2 = (2,-pi/3)*(2,2pi/3) = (4,pi/3)

c) (4,pi/3) =

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