Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 8 - Complex Numbers, Polar Equations, and Parametric Equations - Section 8.2 Trigonometric (Polar) Form of Complex Numbers - 8.2 Exercises - Page 371: 41

Answer

The rectangular form is $2\sqrt{3} - 2i$

Work Step by Step

$4(cos(-30^\circ)$ + $isin(-30^\circ))$ = $4 \cdot \frac{\sqrt{3}}{2}$ + $4 \cdot i \cdot (- \frac{1}{2})$ = $2\sqrt{3} - 2i$ The rectangular form is $2\sqrt{3} - 2i$
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