Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 6 - Trigonometric Functions - 6.2 Trigonometric Functions: Unit Circle Approach - 6.2 Assess Your Understanding - Page 379: 23



Work Step by Step

We know that $tan$ has a period of $\pi$, hence first we try and find a value where the argument is between $-\frac{\pi}{2}$ and $\frac{\pi}{2}$. Therefore $tan(6\pi)=tan(6\pi-2\pi)=tan(4\pi)=tan(4\pi-2\pi)=tan(2\pi)=tan(2\pi-2\pi)=tan(0)=0.$
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