Let z1 and z2 be complex numbers. Which of the following statements are always true? (i) Re(z1z2) (ii) |Im(z1) + iRe(z1)l = Iz1| Re(z122) %3D (iii) If z1 = rje", z2 = IT ', z1 = z2, and 0 is the principal argument of. Z1 then 0 %3D 8

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.4: Complex And Rational Zeros Of Polynomials
Problem 36E
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Let
Z1
and z2 be complex numbers. Which of the following statements are always true?
(i) Re(z172) = Re(z12)
(ii) |Im(z1) + iRe(z1)l = Iz1l
z2 = rzeit/8,
(iii) If z1 = rje®,
Z1 =
, and 0 is the principal argument of z1
then 0
Transcribed Image Text:Let Z1 and z2 be complex numbers. Which of the following statements are always true? (i) Re(z172) = Re(z12) (ii) |Im(z1) + iRe(z1)l = Iz1l z2 = rzeit/8, (iii) If z1 = rje®, Z1 = , and 0 is the principal argument of z1 then 0
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