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 8.3 The Product and Quotient Theorems - 8.3 Exercises - Page 376: 30



Work Step by Step

$[4.6(\cos12^{\circ}+i\sin12^{\circ})][2.0(\cos13^{\circ}+i\sin13^{\circ}]$ Using the product theorem, the expression becomes $4.6(2.0)[\cos(12^{\circ}+13^{\circ})+i\sin(12^{\circ}+13^{\circ})]$ Simplifying, $9.2(\cos25^{\circ}+i\sin25^{\circ})$ Using a calculator, $9.2(0.90631+0.42262i)$ Simplifying further, $(8.3880+3.8881i)$
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