Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 5 - Section 5.4 - Half-Angle Formulas - 5.4 Problem Set - Page 304: 17

Answer

$\dfrac{1}{2}$

Work Step by Step

$270 < A < 360$ Dividing by 2 $135 < \dfrac{A}{2} < 180$ $\therefore \dfrac{A}{2} $ terminates in $QII$ $\sin{\dfrac{A}{2}} = \sqrt{\dfrac{1-\cos{A}}{2}}= \sqrt{\dfrac{1-0.5}{2}}$ $\sin{\dfrac{A}{2}} = \boxed{\dfrac{1}{2}}$
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