Trigonometrie Beispiele

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

Schritt 1

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

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

Schritt 2

Separiere Brüche.

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

Schritt 3

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

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

Schritt 4

Wandle von $\frac{1}{\sin (x)}$ nach $\csc (x)$ um.

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

Schritt 5

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

$\csc (x) \cot (x) + \cot (x)$