Trigonométrie Exemples

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

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

Étape 1

Factorisez

\sin (x)

$\sin (x)$ à partir de

\sin^{2} (x)

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

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

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

Étape 2

Séparez les fractions.

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

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

Étape 3

Convertissez de

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

$\frac{\sin (x)}{\cos (x)}$ à

\tan (x)

$\tan (x)$ .

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

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

Étape 4

Divisez

\sin (x)

$\sin (x)$ par

1

$1$ .

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

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

Étape 5

Divisez

\cos (x)

$\cos (x)$ par

1

$1$ .

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

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