Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 8 - Application of Trigonometry - 8.5 Trigonometric (Polar) Form of Complex Numbers: Products and Quotients - 8.5 Exercises - Page 800: 12

Answer

$$5 + 0i$$

Work Step by Step

$$\eqalign{ & \frac{{5\operatorname{cis} 50,000^\circ }}{{\operatorname{cis} 50,000^\circ }} \cr & = 5\operatorname{cis} \left( {50,000^\circ - 50,000^\circ } \right) \cr & = 5\operatorname{cis} \left( {0^\circ } \right) \cr & = 5\cos 0^\circ + 5i\sin 0^\circ \cr & = 5 + 0i \cr} $$
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