## Trigonometry (11th Edition) Clone

Published by Pearson

# Chapter 8 - Complex Numbers, Polar Equations, and Parametric Equations - Section 8.3 The Product and Quotient Theorems - 8.3 Exercises - Page 376: 29

#### Answer

$(0.6537+7.4714i)$

#### Work Step by Step

$[2.5(\cos35^{\circ}+i\sin35^{\circ})][3.0(\cos50^{\circ}+i\sin50^{\circ}]$ Using the product theorem, the expression becomes $2.5(3.0)[\cos(35^{\circ}+50^{\circ})+i\sin(35^{\circ}+50^{\circ})]$ Simplifying, $7.5(\cos85^{\circ}+i\sin85^{\circ})$ Using a calculator, $7.5(0.08716+0.99619i)$ Simplifying further, $(0.6537+7.4714i)$

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