Answer
See below.
Work Step by Step
$LHS=\frac{cos^2(v)+(1+sin(v))^2}{(1+sin(v))(cos(v))}=\frac{2+2sin(v)}{cos(v)(1+sin(v))}=\frac{2}{cos(v)}=2sec(v)=RHS$
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 476: 52
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