What is the value of sinh(2*2.6953125-4)-0.7*2.6953125 ?

The value of sinh(2*2.6953125-4)-0.7*2.6953125 is (128(e^{89/32}-1)-483e^{89/64})/(256e^{89/64)}

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sinh(22.6953125-4)-0.72.6953125

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}}}

Solution steps

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}

Simplify:

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}

Rewrite using trig identities:

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}}}

arcsin (0.8174)

arctan ((tan (3^{\circ}))^{2} + (tan (2^{\circ}))^{2})

1 1^{2} + 5^{2} - 2 (11) (5) cos (2 0^{\circ})

cot (17 0^{\circ})

e^{\frac{15 π}{16}} sin (\frac{15 π}{16})

What is the value of sinh(2*2.6953125-4)-0.7*2.6953125 ?
The value of sinh(2*2.6953125-4)-0.7*2.6953125 is (128(e^{89/32}-1)-483e^{89/64})/(256e^{89/64)}