Trigonometría Ejemplos

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

Step 1

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

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

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

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

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

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

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

Step 2

Reorganiza los términos.

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

Step 3

Aplica la identidad pitagórica.

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

Step 4

Aplica la razón del ángulo doble sinusoidal.

$\sin (2 x) \cdot 1$

Step 5

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

$\sin (2 x)$