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: 24



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 $0$ and $\pi$. Therefore $cot(\frac{7\pi}{2})=cot(\frac{(7-2)\pi}{2})=cot(\frac{5\pi}{2})=cot(\frac{(5-2)\pi}{2})=cot(\frac{3\pi}{2})=cot(\frac{(3-2)\pi}{2})=cot(\frac{\pi}{2})=0.$
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