cosh

\cosh, or hyperbolic cosine, is defined like this:

\cosh x=\frac{e^x+e^{-x}}2

It’s pronounced ‘cosh’ - as it’s spelt.

Finding from \tanh

Using the definition for \tanh:

\tanh=\frac{\sinh}{\cosh}

…we can deduce that:

\cosh=\frac{\sinh}{\tanh}

Question	Answer
\cosh (hyperbolic cosine)	\cosh x = \frac{e^x + e^{-x}}{2}\
What is the pronunciation of \cosh?	It is pronounced ‘cosh’ (as it is spelt).\
How do you find \cosh from \tanh?	Using \tanh = \frac{\sinh}{\cosh}, we deduce \cosh = \frac{\sinh}{\tanh}.