Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 6 - Analytic Trigonometry - Section 6.2 The Inverse Trigonometric Functions (Continued) - 6.2 Assess Your Understanding - Page 480: 50



Work Step by Step

We know that $\cot {x}=\dfrac{1}{\tan{(x)}}$. This can also be written as: $\cot^{-1}{x}=\tan^{-1} {\left(\frac{1}{x}\right)}$. In order to get the answer in radians, we need to set the calculator in radians mode and round the result to two decimal places to obtain: $\cot^{-1}{(-\dfrac{1}{2})}=\tan^{-1} (\dfrac{1}{-\dfrac{1}{2}})\approx-1.11$
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