Simplify (sec(x)^2-tan(x)^2)/(cos(x)^2+sin(x)^2)

$\frac{\sec^{2} (x) - \tan^{2} (x)}{\cos^{2} (x) + \sin^{2} (x)}$

Apply pythagorean identity.

$\frac{1}{\cos^{2} (x) + \sin^{2} (x)}$

Simplify the denominator.

Rearrange terms.

$\frac{1}{\sin^{2} (x) + \cos^{2} (x)}$

Apply pythagorean identity.

$\frac{1}{1}$

Cancel the common factor of $1$ .

Cancel the common factor.

$\frac{1}{1}$

Rewrite the expression.

$1$