Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 13, Trigonometric Ratios and Functions - 13.4 Evaluate Inverse Trigonometric Functions - 13.4 Exercises - Skill Practice - Page 878: 22

Answer

See below

Work Step by Step

Let us consider $\sin \theta = 0.15$ ; $90^{\circ} \lt \theta \lt 180^{\circ}$ and $\theta =\sin^{-1} (-0.15) \approx 8^{\circ}$ So, the reference angle is: $\theta = 180^{\circ}-8^{\circ}=172^{\circ}$
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