Pré-cálculo Exemplos

tan (3 x)

$\tan (3 x)$

Etapa 1

Aplique a fórmula do arco triplo da tangente.

\frac{3 tan (x) - {tan}^{3} (x)}{1 - 3 {tan}^{2} (x)}

$\frac{3 \tan (x) - \tan^{3} (x)}{1 - 3 \tan^{2} (x)}$

Etapa 2

Fatore

tan (x)

$\tan (x)$ de

3 tan (x) - {tan}^{3} (x)

$3 \tan (x) - \tan^{3} (x)$ .

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Etapa 2.1

Fatore

tan (x)

$\tan (x)$ de

3 tan (x)

$3 \tan (x)$ .

\frac{tan (x) \cdot 3 - {tan}^{3} (x)}{1 - 3 {tan}^{2} (x)}

$\frac{\tan (x) \cdot 3 - \tan^{3} (x)}{1 - 3 \tan^{2} (x)}$

Etapa 2.2

Fatore

tan (x)

$\tan (x)$ de

- {tan}^{3} (x)

$- \tan^{3} (x)$ .

\frac{tan (x) \cdot 3 + tan (x) (- {tan}^{2} (x))}{1 - 3 {tan}^{2} (x)}

$\frac{\tan (x) \cdot 3 + \tan (x) (- \tan^{2} (x))}{1 - 3 \tan^{2} (x)}$

Etapa 2.3

Fatore

tan (x)

$\tan (x)$ de

tan (x) \cdot 3 + tan (x) (- {tan}^{2} (x))

$\tan (x) \cdot 3 + \tan (x) (- \tan^{2} (x))$ .

\frac{tan (x) (3 - {tan}^{2} (x))}{1 - 3 {tan}^{2} (x)}

$\frac{\tan (x) (3 - \tan^{2} (x))}{1 - 3 \tan^{2} (x)}$

\frac{tan (x) (3 - {tan}^{2} (x))}{1 - 3 {tan}^{2} (x)}

$\frac{\tan (x) (3 - \tan^{2} (x))}{1 - 3 \tan^{2} (x)}$

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