Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 5 - Trigonometric Functions - Section 5.1 Angles and Their Measures - 5.1 Assess Your Understanding - Page 385: 21


Refer to the figure

Work Step by Step

$\dfrac{16 \pi}{3} = 2\pi + 2\pi + \dfrac{4\pi}{3}$ To draw an angle of $\dfrac{16 \pi}{3}$ in standard position, make two full revolutions in the anti-clockwise direction followed by a $\dfrac{4\pi}{3}$ rotation in the same direction. A rotation of $\dfrac{4 \pi}{3} $ is $\dfrac{2}{3}$ of a revolution. The initial side is represented by the red line. The terminal side of the angle in its standard position is represented by the blue line.
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