Answer
See below.
Work Step by Step
$LHS=\frac{cos(\alpha)cos(\beta)+sin(\alpha)sin(\beta)}{sin(\alpha)cos(\beta)}=\frac{cos(\alpha)}{sin(\alpha)}+\frac{sin(\beta)}{cos(\beta)}=cot(\alpha)+tan(\beta)=RHS$
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 - 7.5 Sum and Difference Formulas - 7.5 Assess Your Understanding - Page 488: 64
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