Answer
$1+\cot \beta $
Work Step by Step
$\cos \beta \left( sec\beta +csc\beta \right) =\cos \beta sec\beta +\cos \beta csc\beta =1+\dfrac {\cos \beta }{\sin \beta }=1+\cot \beta $
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter 7 - Trigonometric Identities and Equations - 7.2 Verifying Trigonometric Identities - 7.2 Exercises - Page 666: 14
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