Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 6 - Section 6.3 - Trigonometric Functions of Angles - 6.3 Exercises - Page 501: 77

Answer

$0.05389$

Work Step by Step

Assume $x$ is a real number in radian, its corresponding angle in degrees would be $\frac{180x}{\pi}$. Graph the function $y=sin(x)-sin(\frac{180x}{\pi})$ as shown in the figure. The first positive zero would be the smallest number which satisfy the equation $y=0$. We can find that this number as $x=0.05389$
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