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 - Concept and Vocabulary Check - Page 703: 7


If $2\sin x\cos x+\sqrt{2}\cos x=0$, then $\underline{\cos x\,}=0$ or $\underline{2\sin x+\sqrt{2}}=0$.

Work Step by Step

To evaluate the values, find out the common numbers: $\begin{align} & 2\sin x\cos x+\sqrt{2}\cos x=0 \\ & \cos x\left( 2\sin x+\sqrt{2} \right)=0 \\ & \cos x=0 \\ & 2\sin x+\sqrt{2}=0 \end{align}$ So, the values will be $2\sin x+\sqrt{2}=0$ and $\cos x=0$.
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