Algebra Examples

$\frac{\sin^{4} (x)}{\cos^{2} (x)}$

Step 1

Factor $\sin^{2} (x)$ out of $\sin^{4} (x)$ .

$\frac{\sin^{2} (x) \sin^{2} (x)}{\cos^{2} (x)}$

Step 2

Multiply by $1$ .

$\frac{\sin^{2} (x) \sin^{2} (x)}{\cos^{2} (x) \cdot 1}$

Step 3

Separate fractions.

$\frac{\sin^{2} (x)}{1} \cdot \frac{\sin^{2} (x)}{\cos^{2} (x)}$

Step 4

Convert from $\frac{\sin^{2} (x)}{\cos^{2} (x)}$ to $\tan^{2} (x)$ .

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

Step 5

Divide $\sin^{2} (x)$ by $1$ .

$\sin^{2} (x) \tan^{2} (x)$