#### 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 $

Published by
Pearson

ISBN 10:
013421742X

ISBN 13:
978-0-13421-742-0

$1+\cot \beta $

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