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: 42


The rectangular form is $\frac{\sqrt{2}}{2} - \frac{\sqrt{6}}{2} i$

Work Step by Step

$\sqrt{2}(cos(-60^\circ)$ + $isin(-60^\circ))$ = $\sqrt{2} \cdot \frac{1}{2}$ + $\sqrt{2} \cdot i \cdot (- \frac{\sqrt{3}}{2})$ = $\frac{\sqrt{2}}{2} - \frac{\sqrt{6}}{2} i$ The rectangular form is $\frac{\sqrt{2}}{2} - \frac{\sqrt{6}}{2} i$
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