Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 8 - Polar Coordinates; Vectors - Section 8.3 The Complex Plane; De Moivre's Theorem - 8.3 Assess Your Understanding - Page 614: 7

Answer

$r_1r_2,\theta_1+\theta_2,\theta_1+\theta_2$.

Work Step by Step

When multiplying the two given complex numbers, we have $z_1z_2=r_1r_2[cos(\theta_1+\theta_2)+i\ sin(\theta_1+\theta_2)]$.
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