Álgebra Ejemplos

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

Paso 1

Factoriza $\sin^{2} (x)$ de $\sin^{4} (x)$ .

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

Paso 2

Multiplica por $1$ .

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

Paso 3

Separa las fracciones.

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

Paso 4

Convierte de $\frac{\sin^{2} (x)}{\cos^{2} (x)}$ a $\tan^{2} (x)$ .

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

Paso 5

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

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