#### Answer

$1+secx$

#### Work Step by Step

$\tan x\left( \cot x+cscx\right) =\tan x\cot x+\tan xcscx=1+\dfrac {\sin x}{\cos x}\times \dfrac {1}{\sin x}=1+\dfrac {1}{\cos x}=1+secx$

Published by
Pearson

ISBN 10:
013421742X

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

$1+secx$

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