Trigonometry 7th Edition

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

Chapter 1 - Section 1.4 - Introduction to Identities - 1.4 Problem Set - Page 40: 22

Answer

$\cot\theta$ = $\frac{3}{2}$

Work Step by Step

Ratio identity for $\cot\theta$ is- $\cot\theta$ = $\frac{\cos\theta}{\sin\theta}$ Substituting given values of $\sin\theta$ and $\cos\theta$- $\cot\theta$ = $\frac{\frac{3\sqrt 13}{13}}{\frac{2\sqrt 13}{13}}$ = $\frac{3\sqrt 13\times 13}{2\sqrt 13\times13}$ = $\frac{3}{2}$ or $\cot\theta$ = $\frac{3}{2}$
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