Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 7 - Review Exercises - Page 552: 43


$x=n\pi$ $x=arctan~2+n\pi$ where $n$ is an integer.

Work Step by Step

$tan^2x-2~tan~x=0$ $tan~x(tan~x-2)=0$ $tan~x=0$ or $tan~x=2$ $tan~x=0$ $x=0$ $tan~x=2$ $x=arctan~2$ The period of $tan~x$ is $\pi$. The general solutions are: $x=0+n\pi=n\pi$ $x=arctan~2+n\pi$ where $n$ is an integer.
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