Precalculus Examples

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

Step 1

Rearrange terms.

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

Step 2

Apply pythagorean identity.

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

Step 3

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

$\csc (x)$