Precalculus Examples

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

Step 1

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

$- 2 + 2 \csc^{2} (x)$

Step 2

Factor $2$ out of $- 2$ .

$2 (- 1) + 2 \csc^{2} (x)$

Step 3

Factor $2$ out of $2 \csc^{2} (x)$ .

$2 (- 1) + 2 (\csc^{2} (x))$

Step 4

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

$2 (- 1 + \csc^{2} (x))$

Step 5

Rearrange terms.

$2 (\csc^{2} (x) - 1)$

Step 6

Apply pythagorean identity.

$2 \cot^{2} (x)$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$