Precalculus (10th Edition)

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

Chapter 7 - Analytic Trigonometry - 7.2 The Inverse Trigonometric Functions (Continued) - 7.2 Assess Your Understanding - Page 458: 47

Answer

$0.46$

Work Step by Step

Note that $\cot {x}=\frac{1}{\tan{(x)}}$. Hence, $\cot^{-1}{x}=\tan^{-1} {\left(\frac{1}{x}\right)}$. Use a calculator in radian mode and round the result to decimal places to obtain $\cot^{-1}{(2)}=\tan^{-1} {\left(\frac{1}{2}\right)}\approx0.46$
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