Trigonometry (10th Edition)

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

Chapter 6 - Test - Page 287: 4c

Answer

$125.47^{\circ}$

Work Step by Step

Ensuring that the calculator is in degree mode, we enter $\cot^{-1} (-0.7125586)$ as $\tan^{-1} (\frac{1}{-0.7125586})$ into the calculator and solve to the nearest hundred: $\tan^{-1} (\frac{1}{-0.7125586})\approx-54.53^{\circ}$ Now adding the answer to $180^{\circ}$: $-54.53^{\circ}+180^{\circ}=125.47^{\circ}$ Therefore, $\cot^{-1} (-0.7125586)=125.47^{\circ}$
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