Answer
See below.
Work Step by Step
Step 1. $f(x)=sin(x)\cdot \frac{sin(x)}{cos(x)}=\frac{sin^2(x)}{cos(x)}$
Step 2. $g(x)=\frac{1}{cos(x)}-cos(x)=\frac{1-cos^2(x)}{cos(x)}=\frac{sin^2(x)}{cos(x)}=f(x)$
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 - 7.4 Trigonometric Identities - 7.4 Assess Your Understanding - Page 477: 101
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