Trigonometry (10th Edition)

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

Chapter 1 - Trigonometric Functions - Section 1.4 Using the Definitions of the Trigonometric Functions - 1.4 Exercises - Page 37: 79

Answer

$\theta=170.5483647^{\circ}$

Work Step by Step

1. Use calculator to find theta $\sin\theta=0.164215$ $\theta=9.451635268^{\circ}$ 2. To find required angle in the second quadrant just subtact this angle to 180 degrees $\theta=(180-9.451635268)^{\circ}=170.5483647^{\circ}$
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