Answer
$6sin(\pi x+\frac{\pi}{3})$
Work Step by Step
$3sin(\pi x)+3\sqrt 3 cos(\pi x)=6(\frac{1}{2}sin(\pi x)+\frac{\sqrt 3}{2} cos(\pi x))
=6(sin(\pi x)cos\frac{\pi}{3}+cos(\pi x)sin\frac{\pi}{3}=6sin(\pi x+\frac{\pi}{3})$
Precalculus: Mathematics for Calculus, 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305071751
ISBN 13:
978-1-30507-175-9
Chapter 7 - Section 7.2 - Addition and Subtraction Formulas - 7.2 Exercises - Page 552: 62
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