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: 22

Answer

Refer to the figure
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Work Step by Step

$\dfrac{21 \pi}{4} = 2 \pi + 2 \pi + \dfrac{5 \pi}{4}$ To draw an angle of $\dfrac{21 \pi}{4}$ in standard position, make two full revolutions in the anti-clockwise direction followed by a $\dfrac{5\pi}{4}$ rotation in the same direction. A rotation of $\dfrac{5 \pi}{4} $ is $\dfrac{5}{8}$ 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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