Elementarmathematik Beispiele

\frac{\csc (x) \cot (x)}{\sec (x)}

$\frac{\csc (x) \cot (x)}{\sec (x)}$

Step 1

Separiere Brüche.

\frac{\cot (x)}{1} \cdot \frac{\csc (x)}{\sec (x)}

$\frac{\cot (x)}{1} \cdot \frac{\csc (x)}{\sec (x)}$

Step 2

Schreibe

\sec (x)

$\sec (x)$ mithilfe von Sinus und Kosinus um.

\frac{\cot (x)}{1} \cdot \frac{\csc (x)}{\frac{1}{\cos (x)}}

$\frac{\cot (x)}{1} \cdot \frac{\csc (x)}{\frac{1}{\cos (x)}}$

Step 3

Schreibe

\csc (x)

$\csc (x)$ mithilfe von Sinus und Kosinus um.

\frac{\cot (x)}{1} \cdot \frac{\frac{1}{\sin (x)}}{\frac{1}{\cos (x)}}

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

Step 4

Multipliziere mit dem Kehrwert des Bruchs, um durch

\frac{1}{\cos (x)}

$\frac{1}{\cos (x)}$ zu dividieren.

\frac{\cot (x)}{1} \cdot \frac{\cos (x)}{\sin (x)}

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

Step 5

Wandle von

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

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

\cot (x)

$\cot (x)$ um.

\frac{\cot (x)}{1} \cot (x)

$\frac{\cot (x)}{1} \cot (x)$

Step 6

Dividiere

\cot (x)

$\cot (x)$ durch

1

$1$ .

\cot (x) \cot (x)

$\cot (x) \cot (x)$

Step 7

Multipliziere

\cot (x) \cot (x)

$\cot (x) \cot (x)$ .

Tippen, um mehr Schritte zu sehen ...

Potenziere

\cot (x)

$\cot (x)$ mit

1

$1$ .

\cot^{1} (x) \cot (x)

$\cot^{1} (x) \cot (x)$

Potenziere

\cot (x)

$\cot (x)$ mit

1

$1$ .

\cot^{1} (x) \cot^{1} (x)

$\cot^{1} (x) \cot^{1} (x)$

Wende die Exponentenregel

a^{m} a^{n} = a^{m + n}

$a^{m} a^{n} = a^{m + n}$ an, um die Exponenten zu kombinieren.

{\cot (x)}^{1 + 1}

${\cot (x)}^{1 + 1}$

Addiere

1

$1$ und

1

$1$ .

\cot^{2} (x)

$\cot^{2} (x)$

\cot^{2} (x)

$\cot^{2} (x)$

\frac{\csc (x) \cot (x)}{\sec (x)}

$\frac{\csc (x) \cot (x)}{\sec (x)}$

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