Trigonometría Ejemplos

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

Step 1

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

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Factoriza la potencia perfecta $1^{2}$ de $(1 - \cos (x)) (1 + \cos (x))$ .

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

Factoriza la potencia perfecta $\cos^{2} (x)$ de $\cos^{2} (x)$ .

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

Reorganiza la fracción $\frac{1^{2} ((1 - \cos (x)) (1 + \cos (x)))}{\cos^{2} (x) \cdot 1}$ .

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

Step 2

Retira los términos de abajo del radical.

$\frac{1}{\cos (x)} \sqrt{(1 - \cos (x)) (1 + \cos (x))}$

Step 3

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

$\sec (x) \sqrt{(1 - \cos (x)) (1 + \cos (x))}$