Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 6 - Inverse Circular Functions and Trigonometric Equations - Section 6.1 Inverse Circular Functions - 6.1 Exercises - Page 259: 55

Answer

$121.267893^{\circ}$

Work Step by Step

Ensuring that the calculator is in degree mode, we enter $\cot^{-1} (-0.60724226)$ as $\tan^{-1} (\frac{1}{-0.60724226})$ into the calculator and solve: $\tan^{-1} (\frac{1}{-0.60724226})\approx-58.732107^{\circ}$ Adding the solution to $180^{\circ}$: $180^{\circ}+(-58.732107)^{\circ}=121.267893^{\circ}$
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