Cálculo Ejemplos

$\sin (\frac{4}{5} + \frac{\sqrt{2}}{2})$

Paso 1

Usa la fórmula de suma para el seno para simplificar la expresión. La fórmula establece que $\sin (A + B) = \sin (A) \cos (B) + \cos (A) \sin (B)$ .

$\sin (\frac{4}{5}) \cos (\frac{\sqrt{2}}{2}) + \cos (\frac{4}{5}) \sin (\frac{\sqrt{2}}{2})$

Paso 2

Elimina los paréntesis.

$\sin (\frac{4}{5}) \cos (\frac{\sqrt{2}}{2}) + \cos (\frac{4}{5}) \sin (\frac{\sqrt{2}}{2})$

Paso 3

Simplifica cada término.

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Paso 3.1

Evalúa $\sin (\frac{4}{5})$ .

$0.71735609 \cos (\frac{\sqrt{2}}{2}) + \cos (\frac{4}{5}) \sin (\frac{\sqrt{2}}{2})$

Paso 3.2

Evalúa $\cos (\frac{\sqrt{2}}{2})$ .

$0.71735609 \cdot 0.76024459 + \cos (\frac{4}{5}) \sin (\frac{\sqrt{2}}{2})$

Paso 3.3

Multiplica $0.71735609$ por $0.76024459$ .

$0.54536609 + \cos (\frac{4}{5}) \sin (\frac{\sqrt{2}}{2})$

Paso 3.4

Evalúa $\cos (\frac{4}{5})$ .

$0.54536609 + 0.6967067 \sin (\frac{\sqrt{2}}{2})$

Paso 3.5

Evalúa $\sin (\frac{\sqrt{2}}{2})$ .

$0.54536609 + 0.6967067 \cdot 0.64963693$

Paso 3.6

Multiplica $0.6967067$ por $0.64963693$ .

$0.54536609 + 0.45260641$

Paso 4

Suma $0.54536609$ y $0.45260641$ .

$0.9979725$