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3.14. Given 2122 0, prove that Re z122 |21||2| if and only if Arg z1 Arg z2. Hence, show that |21 + 22| |z1|+ |22| if and only if Arg z1 Arg 2.

3.14. Given 2122 0, prove that Re z122 |21||2| if and only if Arg z1 Arg z2. Hence, show that |21 + 22| |z1|+ |22| if and only if Arg z1 Arg 2.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 20E
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3.14. Given z1 22 # 0, prove that Re z122 |21||2| if and only if Arg z1 Arg z2. Hence, show that |21 + 22| |21| + |2| if and only if Arg z1 Arg 2.
Transcribed Image Text:3.14. Given z1 22 # 0, prove that Re z122 |21||2| if and only if Arg z1 Arg z2. Hence, show that |21 + 22| |21| + |2| if and only if Arg z1 Arg 2.
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