Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 6 - Review - Exercises - Page 529: 47

Answer

$60^{\circ}$

Work Step by Step

Step 1. Given the line equation $y-\sqrt 3x+1=0$, we can find its slope as $m=\sqrt 3$ Step 2. Assume this line forms and angle $\theta$ with the x-axis, then $tan\theta=m=\sqrt 3$ and the acute angle $\theta=tan^{-1}\sqrt 3=\frac{\pi}{3}$ or $60^{\circ}$
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