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 703: 24


The solutions of the equation is $\theta =\pi +2n\pi $, where n is any integer.

Work Step by Step

$\begin{align} & 7\cos \theta +9=-2\cos \theta \\ & 7\cos \theta +2\cos \theta =-9 \\ & 9\cos \theta =-9 \\ & \cos \theta =-1 \end{align}$ $\cos \pi =-1$, and the solution of $\cos \theta =-1$ in [0, $2\pi $ ) is: $\theta =\pi $ The period of the tangent function is $2\pi $, and the solutions are given by: $\theta =\pi +2n\pi $, where n is any integer.
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