Precalculus Examples

$\sqrt{1 + \tan^{2} (x)}$

Step 1

Rearrange terms.

$\sqrt{\tan^{2} (x) + 1}$

Step 2

Apply pythagorean identity.

$\sqrt{\sec^{2} (x)}$

Step 3

Pull terms out from under the radical, assuming positive real numbers.

$\sec (x)$