Answer
See explanations.
Work Step by Step
Divide the left side numerator and the denominator by $tan(v)$ and use the relation $cot(v)=\frac{1}{tan(v)}$. We have $LHS=\frac{\frac{1}{tan(v)}+1}{\frac{1}{tan(v)}-1}=\frac{cot(v)+1}{cot(v)-1}=RHS$
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: 45
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