Trigonometria Exemplos

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

Etapa 1

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

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

Etapa 2

Separe as frações.

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

Etapa 3

Converta de $\frac{\cos (x)}{\sin (x)}$ em $\cot (x)$ .

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

Etapa 4

Converta de $\frac{1}{\sin (x)}$ em $\csc (x)$ .

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

Etapa 5

Converta de $\frac{\cos (x)}{\sin (x)}$ em $\cot (x)$ .

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