Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 3 - Radian Measure and the Unit Circle - Section 3.1 Radian Measure - 3.1 Exercises - Page 105: 54

Answer

$2.1401$ radians

Work Step by Step

Step 1: First, we need to convert the angle to decimal degrees: $122^{\circ}37'=122\frac{37}{60}^{\circ}=122.62^{\circ}$ Step 2: To convert from degrees to radians, we need to multiply the angle in degrees by $\frac{\pi}{180}$ radians, $122.62^{\circ}=122.62(\frac{\pi}{180})$ Step 3: Using a calculator, $122.62(\frac{\pi}{180})\approx2.1401$ radians
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