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: 33

Answer

$\theta$ $\approx$ 12.22728203$^{\circ}$

Work Step by Step

$\csc$ $\theta$ = 4.7216543 Therefore: $\sin$ $\theta$ = $\frac{1}{csc\theta}$ $\sin$ $\theta$ = $\frac{1}{4.7216543}$ $\sin$ $\theta$ = 0.21179018 $\theta$ = $\sin$$^{-1}$ 0.21179018 Utilizing the calculator: $\theta$ $\approx$ 12.22728203$^{\circ}$
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