Trigonometria Exemplos

$120 {\cos (x)}^{2^{1}} \cdot \sin^{4} (x) + 40 \cos^{6} (x)$

Etapa 1

Fatore $40$ de $120 {\cos (x)}^{2^{1}} \cdot \sin^{4} (x) + 40 \cos^{6} (x)$ .

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Etapa 1.1

Fatore $40$ de $120 {\cos (x)}^{2^{1}} \cdot \sin^{4} (x)$ .

$40 (3 {\cos (x)}^{2^{1}} \cdot \sin^{4} (x)) + 40 \cos^{6} (x)$

Etapa 1.2

Fatore $40$ de $40 \cos^{6} (x)$ .

$40 (3 {\cos (x)}^{2^{1}} \cdot \sin^{4} (x)) + 40 (\cos^{6} (x))$

Etapa 1.3

Fatore $40$ de $40 (3 {\cos (x)}^{2^{1}} \cdot \sin^{4} (x)) + 40 (\cos^{6} (x))$ .

$40 (3 {\cos (x)}^{2^{1}} \cdot \sin^{4} (x) + \cos^{6} (x))$

Etapa 2

Avalie o expoente.

$40 (3 \cos^{2} (x) \sin^{4} (x) + \cos^{6} (x))$

Etapa 3

Fatore.

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Etapa 3.1

Fatore $\cos^{2} (x)$ de $3 \cos^{2} (x) \sin^{4} (x) + \cos^{6} (x)$ .

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Etapa 3.1.1

Fatore $\cos^{2} (x)$ de $3 \cos^{2} (x) \sin^{4} (x)$ .

$40 (\cos^{2} (x) (3 \sin^{4} (x)) + \cos^{6} (x))$

Etapa 3.1.2

Fatore $\cos^{2} (x)$ de $\cos^{6} (x)$ .

$40 (\cos^{2} (x) (3 \sin^{4} (x)) + \cos^{2} (x) \cos^{4} (x))$

Etapa 3.1.3

Fatore $\cos^{2} (x)$ de $\cos^{2} (x) (3 \sin^{4} (x)) + \cos^{2} (x) \cos^{4} (x)$ .

$40 (\cos^{2} (x) (3 \sin^{4} (x) + \cos^{4} (x)))$

Etapa 3.2

Remova os parênteses desnecessários.

$40 \cos^{2} (x) (3 \sin^{4} (x) + \cos^{4} (x))$