Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 6 - Inverse Circular Functions and Trigonometric Equations - Section 6.1 Inverse Circular Functions - 6.1 Exercises - Page 265: 56

Answer

$160.172137^{\circ}$

Work Step by Step

Ensuring that the calculator is in degree mode, we enter $\cot^{-1} (-2.7733744)$ as $\tan^{-1} (\frac{1}{-2.7733744})$ into the calculator and solve: $\tan^{-1} (\frac{1}{-2.7733744})\approx-19.827863^{\circ}$ Adding the solution to $180^{\circ}$: $180^{\circ}+(-19.827863)^{\circ}=160.172137^{\circ}$
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