Trigonometry Examples

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

Step 1

Rewrite $1$ as $1^{2}$ .

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

Step 2

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = \sec (x)$ and $b = 1$ .

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