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: 29

Answer

See below

Work Step by Step

Using the given triangle, we find: $$ \cos \theta_1= \frac{2\sqrt 3}{4} \\ \theta_1 = \arccos^{-1}(\frac{\sqrt 3}{2}) \\ \theta_1 = 30^{\circ}$$ Since $\theta=\theta_1+90^{\circ}\\\theta=30^{\circ}+90^{\circ}\\\theta=120^{\circ}$
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