Evaluate tan(x)^2-sec(x)^2

$\tan^{2} (x) - \sec^{2} (x)$

Step 1

Simplify with factoring out.

Reorder $\tan^{2} (x)$ and $- \sec^{2} (x)$ .

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

Factor $- 1$ out of $- \sec^{2} (x)$ .

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

Factor $- 1$ out of $\tan^{2} (x)$ .

$- (\sec^{2} (x)) - 1 (- \tan^{2} (x))$

Factor $- 1$ out of $- (\sec^{2} (x)) - 1 (- \tan^{2} (x))$ .

$- (\sec^{2} (x) - \tan^{2} (x))$

Step 2

Apply pythagorean identity.

$- 1 \cdot 1$

Step 3

Multiply $- 1$ by $1$ .

$- 1$