#### Answer

$\frac{1-\sin^2\beta}{\cos\beta}=\cos\beta$

#### Work Step by Step

Start with the left side:
$\frac{1-\sin^2\beta}{\cos\beta}$
Simplify:
$=\frac{\cos^2\beta}{\cos\beta}$
$=\cos\beta$
Since this equals the right side, the identity has been proven.