Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 5 - Trigonometric Functions - 5.3 Trigonometric Functions Values and Angle Measures - 5.3 Exercises - Page 532: 47

Answer

$\Rightarrow y=\dfrac {\sqrt {3}}{3}x$

Work Step by Step

Lets assume that Equation is $y=kx+b$ If the line passes origin then $b=0$ and $k=\tan \alpha =\tan 30=\dfrac {\sin 30}{\cos 30}=\dfrac {\dfrac {1}{2}}{\dfrac {\sqrt {3}}{2}}=\dfrac {1}{\sqrt {3}}=\dfrac {\sqrt {3}}{3}$ $\Rightarrow y=\dfrac {\sqrt {3}}{3}x$
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