Answer
$\frac{sec^2x-1}{sec~x-1}=sec~x+1$
Work Step by Step
$\frac{sec^2x-1}{sec~x-1}=\frac{sec^2x-1^2}{sec~x-1}=\frac{(sec~x+1)(sec~x-1)}{sec~x-1}=sec~x+1$
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