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 - Quiz for Lessons 13.3-13.4 - Page 880: 13

Answer

$162.54^{\circ}$

Work Step by Step

Here, we have $\sin^{-1} (0.3)$ The angle $\theta$ is in the second quadrant. This means that $\theta=\sin^{-1} (0.3) \approx 17.46^{\circ}$ We know that the function sin is also positive in the second quadrant. Then we have $\theta=180^{\circ}-17.46^{\circ}=162.54^{\circ}$
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