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 131: 13

Answer

(a) Refer to the drawing of the given angle below. (b) $\dfrac{\pi}{6}$ radians (c) reference angle: $30^o$ or $\dfrac{\pi}{6}$ radians
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Work Step by Step

(a) From the positive x-axis, move 30 degrees counter clockwise. (refer to the attached image above for the drawing) (b) Convert to radians by multiplying $\dfrac{\pi}{180^o}$ to obtain: $30^o \cdot \dfrac{\pi}{180^o} = \dfrac{\pi}{6}$ radians (c) The angle is in Quadrant I. The reference angle of an angle in Quadrant I is itself. Thus, the reference angle of the given angle is $\color{blue}{30^o}$.
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