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: 53


$0.9847$ radians

Work Step by Step

Step 1: First, we need to convert the angle to decimal degrees: $56^{\circ}25'=56\frac{25}{60}^{\circ}=56.42^{\circ}$ Step 2: To convert from degrees to radians, we need to multiply the angle in degrees by $\frac{\pi}{180}$ radians, $56.42^{\circ}=56.42(\frac{\pi}{180})$ Step 3: Using a calculator, $56.42(\frac{\pi}{180})\approx0.9847$ radians
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