Trigonometrie Beispiele

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

Schritt 1

Faktorisiere $\sin (x)$ aus $\sin (x) + 2 \sin (x) \cos (x)$ heraus.

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Schritt 1.1

Multipliziere mit $1$ .

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

Schritt 1.2

Faktorisiere $\sin (x)$ aus $2 \sin (x) \cos (x)$ heraus.

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

Schritt 1.3

Faktorisiere $\sin (x)$ aus $\sin (x) \cdot 1 + \sin (x) (2 \cos (x))$ heraus.

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

Schritt 2

Stelle die Faktoren in $\frac{\sin (x) (1 + 2 \cos (x))}{2 + \cos (x) - 2 \sin^{2} (x) x}$ um.

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