What is the value of 2-2cosh(0.1-2) ?

The value of 2-2cosh(0.1-2) is (2e^{19/10}-e^{19/5}-1)/(e^{19/10)}

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2-2cosh(0.1-2)

2 - 2 cosh (0.1 - 2)

\frac{2 e ^{\frac{19}{10}} - e ^{\frac{19}{5}} - 1}{e ^{\frac{19}{10}}}

Solution steps

2 - 2 cosh (0.1 - 2)

= 2 - 2 cosh (\frac{1}{10} - 2)

Simplify:

\frac{1}{10} - 2 = - \frac{19}{10}

= 2 - 2 cosh (- \frac{19}{10})

Use the following property:

cosh (- x) = cosh (x)

cosh (- \frac{19}{10}) = cosh (\frac{19}{10})

= 2 - 2 cosh (\frac{19}{10})

Rewrite using trig identities:

cosh (\frac{19}{10}) = \frac{e ^{\frac{19}{5}} + 1}{2 e ^{\frac{19}{10}}}

= 2 - 2 \cdot \frac{e ^{\frac{19}{5}} + 1}{2 e ^{\frac{19}{10}}}

2 - 2 \cdot \frac{e ^{\frac{19}{5}} + 1}{2 e ^{\frac{19}{10}}} = \frac{2 e ^{\frac{19}{10}} - e ^{\frac{19}{5}} - 1}{e ^{\frac{19}{10}}}

= \frac{2 e ^{\frac{19}{10}} - e ^{\frac{19}{5}} - 1}{e ^{\frac{19}{10}}}

sin (0.0476)

1.758 + \frac{sin ( 4 )}{4} (3.9 - 4)

arctan (2) \cdot 2

sin (π) + cos (0) + tan (\frac{3 π}{4})

300 \cdot cos (2 0^{\circ})

What is the value of 2-2cosh(0.1-2) ?
The value of 2-2cosh(0.1-2) is (2e^{19/10}-e^{19/5}-1)/(e^{19/10)}