Trigonometry (10th Edition)

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

Chapter 2 - Acute Angles and Right Triangles - Section 2.3 Finding Trigonometric Function Values Using a Calculator - 2.3 Exercises - Page 63: 27

Answer

$\theta$ $\approx$ 38.49157944$^{\circ}$

Work Step by Step

$\cot$ $\theta$ = 1.2575516 Therefore: $\tan$ $\theta$ = $\frac{1}{\cot\theta}$ $\tan$ $\theta$ = $\frac{1}{1.2575516}$ $\tan$ $\theta$ = 0.79519599 $\theta$ = $\tan$$^{-1}$ 0.79519599 Utilizing the calculator: $\theta$ $\approx$ 38.49157944$^{\circ}$
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