Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 3 - Section 3.2 - Radians and Degrees - 3.2 Problem Set - Page 135: 108

Answer

Option (d)

Work Step by Step

The angle $\dfrac{11\pi}{6}$ is in Quadrant IV. RECALL: The reference angle of an angle $\theta$ in Quadrant IV is given by the formula: $\text{reference angle} =2\pi-\theta$ Thus, the reference angle of the given angle is: $=2\pi - \dfrac{11\pi}{6} \\=\dfrac{12\pi}{6} - \dfrac{11\pi}{6} \\=\dfrac{\pi}{6}$ The answer is Option (d).
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