Trigonometry Examples

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

Step 1

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

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

Step 2

Rewrite $- 1$ as $- 1 (1)$ .

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

Step 3

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

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

Step 4

Simplify the expression.

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Step 4.1

Rewrite $- (\tan^{2} (x) + 1)$ as $- 1 (\tan^{2} (x) + 1)$ .

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

Step 4.2

Move the negative in front of the fraction.

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