Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 1 - Section 1.5 - More on Identities - 1.5 Problem Set - Page 45: 5


$\cot\theta$ = $ \frac{\sqrt (1-\sin^{2}\theta)}{\sin\theta}$

Work Step by Step

From ratio identity- $\cot\theta$ = $ \frac{\cos\theta}{\sin\theta}$ $\cot\theta$ = $ \frac{\sqrt (1-\sin^{2}\theta)}{\sin\theta}$ [From Pythagorean identity, $\cos\theta$ can be written as $\sqrt (1-\sin^{2}\theta)$]
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