Hyperbolic Functions Calculator
An online calculator to calculate hyperbolic functions is presented.
The six hyperbolic functions are defined by:
\( \sinh(x) = \dfrac{e^x - e^{-x}}{2} \) , \( \cosh(x) = \dfrac{e^x + e^{-x}}{2} \) , \( \tanh(x) = \dfrac{e^x - e^{-x}}{e^x + e^{-x}} \) ,
\( \coth(x) = \dfrac{e^x + e^{-x}}{e^x - e^{-x}} \) , \( \text{sech}(x) = \dfrac{2}{e^x + e^{-x}} \) , \( \text{csch}(x) = \dfrac{2}{e^x - e^{-x}} \)
How to use the calculator
1 - Enter the variable \( x \) as a real number and the number of decimal places desired then press "Enter".
Results
Activities
Use the values of the six hyperbolic functions and your own calculator to verify ( approximately ) the following identities\( \cosh^2(x) - \sinh^2(x) = 1 \)
\( 1 - \tanh^2(x) = \text{sech}^2(x) \)
\( \tan(x) = \dfrac{\sinh(x)}{\cosh(x)} \)
\( \coth(x) = \dfrac{1}{\tanh(x)} \)
\( \text{sech}(x) = \dfrac{1}{\text{cosh}(x)} \)
\( \text{csch}(x) = \dfrac{1}{\sinh(x)} \)
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