Trigonometria Exemplos

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

Etapa 1

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

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Etapa 1.1

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

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

Etapa 1.2

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

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

Etapa 1.3

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

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

Etapa 2

Reorganize os termos.

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

Etapa 3

Aplique a identidade trigonométrica fundamental.

$2 \sin (x) \cos (x) \cdot 1$

Etapa 4

Aplique a fórmula do arco duplo do seno.

$\sin (2 x) \cdot 1$

Etapa 5

Multiplique $\sin (2 x)$ por $1$ .

$\sin (2 x)$