Trigonometrie Beispiele

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

Schritt 1

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

$\cos (x) + \frac{\sin (x) \sin (x)}{\cos (x)}$

Schritt 2

Separiere Brüche.

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

Schritt 3

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

$\cos (x) + \frac{\sin (x)}{1} \tan (x)$

Schritt 4

Dividiere $\sin (x)$ durch $1$ .

$\cos (x) + \sin (x) \tan (x)$