Answer
See below.
Work Step by Step
Based on the given formula, we have $p(t)=V_mI_msin(\omega t)(cos\phi sin(\omega t)-sin\phi cos(\omega t))=V_mI_msin(\omega t)(sin(\omega t)cos\phi -cos(\omega t)sin\phi )=V_mI_msin(\omega t)sin(\omega t-\phi)$
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Chapter 7 - Analytic Trigonometry - 7.5 Sum and Difference Formulas - 7.5 Assess Your Understanding - Page 489: 108
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