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: 60



Work Step by Step

Step 1: To convert from radians to degrees, we need to multiply the angle in radians by $(\frac{180^{\circ}}{\pi})$, $3.06$ radians$=3.06(\frac{180^{\circ}}{\pi})$ Step 2: Using a calculator, $3.06(\frac{180^{\circ}}{\pi})\approx175.32509^{\circ}$ Step 3: Converting decimal degrees to minutes, $0.32509(60')\approx20'$ Step 4: Therefore, $175.32509^{\circ}=175^{\circ}20'$
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