Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 5 - Section 5.5 - Trigonometric Equations - Exercise Set - Page 704: 86


The solution on the interval $[0,2\pi )$, correct to four decimal places, is $0.8319$ or $2.3097$.

Work Step by Step

We have to calculate the equation using a calculator in radian mode: $\theta =\text{si}{{\text{n}}^{-1}}0.7392\approx 0.8319.$ Therefore, the sine is positive in quadrants I and II, $x\approx 0.8319\ $ or $x\approx \pi -0.8319$ And the value of $\pi $ is 3.14159. Hence, the value of $x$ is: $\begin{align} & x\approx 3.14159-0.8319 \\ & \approx 2.3097. \end{align}$
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