Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 6 - Analytic Trigonometry - Section 6.3 Trigonometric Equations - 6.3 Assess Your Understanding - Page 488: 56

Answer

$2.42,3.86$

Work Step by Step

Use a calculator, $4cos\theta+3=0 \Longrightarrow cos\theta=-\frac{3}{4} \Longrightarrow \theta=cos^{-1}(-\frac{3}{4})=\pi-cos^{-1}(\frac{3}{4})\approx2.42$ and $\pi+cos^{-1}(\frac{3}{4})\approx3.86$ in $[0,2\pi)$.
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