sinh(22.6953125-4)-0.72.6953125

Solución

sinh (2 \cdot 2.6953125 - 4) - 0.7 \cdot 2.6953125

\frac{128 ( e ^{\frac{89}{32}} - 1 ) - 483 e ^{\frac{89}{64}}}{256 e ^{\frac{89}{64}}}

Pasos de solución

sinh (2 \cdot 2.6953125 - 4) - 0.7 \cdot 2.6953125

= sinh (2 \cdot \frac{345}{128} - 4) - \frac{7}{10} \cdot \frac{345}{128}

Simplificar:

2 \cdot \frac{345}{128} - 4 = \frac{89}{64}

sinh (\frac{89}{64}) - \frac{7}{10} \cdot \frac{345}{128} = \frac{256 sinh ( \frac{89}{64} ) - 483}{256}

= \frac{256 sinh ( \frac{89}{64} ) - 483}{256}

Re-escribir usando identidades trigonométricas:

sinh (\frac{89}{64}) = \frac{e ^{\frac{89}{32}} - 1}{2 e ^{\frac{89}{64}}}

= \frac{256 \cdot \frac{e ^{\frac{89}{32}} - 1}{2 e ^{\frac{89}{64}}} - 483}{256}

\frac{256 \cdot \frac{e ^{\frac{89}{32}} - 1}{2 e ^{\frac{89}{64}}} - 483}{256} = \frac{128 ( e ^{\frac{89}{32}} - 1 ) - 483 e ^{\frac{89}{64}}}{256 e ^{\frac{89}{64}}}

= \frac{128 ( e ^{\frac{89}{32}} - 1 ) - 483 e ^{\frac{89}{64}}}{256 e ^{\frac{89}{64}}}

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