Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 8 - Complex Numbers, Polar Equations, and Parametric Equations - Section 8.2 Trigonometric (Polar) Form of Complex Numbers - 8.2 Exercises - Page 365: 61

Answer

The graph of all the complex numbers, $z$, will be a vertical line passing through $x = 1$.

Work Step by Step

For $z = x + yi$, The real part of $z$ is 1, shall mean, $x = 1$ or $z = 1 + yi$ The graph of all the complex numbers, $z$, satisfying the captioned condition will be a vertical line passing through $x = 1$.
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