Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 6 - 6.1 - Angles and Their Measure - 6.1 Exercises - Page 430: 28

Answer

(a) $135.01°$ (b) $-408.27222°$

Work Step by Step

$1'=60''$ $1°=60'$ $1°=60'\times\frac{60''}{1'}=3600''$ (a) $135°~36''=135°+36''·\frac{1°}{3600''}=135°+0.01°=135.01°$ (b) $-408°~16'~20''=-(408°+16·\frac{1°}{60'}+20·\frac{1°}{3600''})=-(408°+0.27222)=-408.27222°$
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