#### Answer

$\csc^2\theta$

#### Work Step by Step

$\cot^2\theta(1+\tan^2\theta)$
$=\cot^2\theta*\sec^2\theta$
$=\frac{\cos^2\theta}{\sin^2\theta}*\frac{1}{\cos^2\theta}$
$=\frac{1}{\sin^2\theta}$
$=\csc^2\theta$

Published by
Pearson

ISBN 10:
013421742X

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

$\csc^2\theta$

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