Álgebra Ejemplos

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

Paso 1

Reescribe $1$ como $1^{2}$ .

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

Paso 2

Reescribe $\frac{1^{2}}{\cos^{2} (x)}$ como ${(\frac{1}{\cos (x)})}^{2}$ .

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

Paso 3

Convierte de $\frac{1}{\cos (x)}$ a $\sec (x)$ .

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

Paso 4

Reescribe $1$ como $1^{2}$ .

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

Paso 5

Reescribe $\frac{1^{2}}{\sin^{2} (x)}$ como ${(\frac{1}{\sin (x)})}^{2}$ .

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

Paso 6

Convierte de $\frac{1}{\sin (x)}$ a $\csc (x)$ .

$\sec^{2} (x) + \csc^{2} (x)$