Algebra Beispiele

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

Schritt 1

Faktorisiere $\sin^{2} (x)$ aus $\sin^{4} (x)$ heraus.

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

Schritt 2

Multipliziere mit $1$ .

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

Schritt 3

Separiere Brüche.

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

Schritt 4

Wandle von $\frac{\sin^{2} (x)}{\cos^{2} (x)}$ nach $\tan^{2} (x)$ um.

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

Schritt 5

Dividiere $\sin^{2} (x)$ durch $1$ .

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