Trigonometría Ejemplos

\sin (2 x) - \cos (2 x)

$\sin (2 x) - \cos (2 x)$

Step 1

Aplica la razón del ángulo doble sinusoidal.

2 \sin (x) \cos (x) - \cos (2 x)

$2 \sin (x) \cos (x) - \cos (2 x)$

Step 2

Usa la razón del ángulo doble para transformar

\cos (2 x)

$\cos (2 x)$ a

1 - 2 \sin^{2} (x)

$1 - 2 \sin^{2} (x)$ .

2 \sin (x) \cos (x) - (1 - 2 \sin^{2} (x))

$2 \sin (x) \cos (x) - (1 - 2 \sin^{2} (x))$

Step 3

Aplica la propiedad distributiva.

2 \sin (x) \cos (x) - 1 \cdot 1 - (- 2 \sin^{2} (x))

$2 \sin (x) \cos (x) - 1 \cdot 1 - (- 2 \sin^{2} (x))$

Step 4

Multiplica

- 1

$- 1$ por

1

$1$ .

2 \sin (x) \cos (x) - 1 - (- 2 \sin^{2} (x))

$2 \sin (x) \cos (x) - 1 - (- 2 \sin^{2} (x))$

Step 5

Multiplica

- 2

$- 2$ por

- 1

$- 1$ .

2 \sin (x) \cos (x) - 1 + 2 \sin^{2} (x)

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

\sin (2 x) - \cos (2 x)

$\sin (2 x) - \cos (2 x)$

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