Chapter 6 - Applications of Integration - 6.10 Hyperbolic Functions - 6.10 Exercises - Page 502: 1

$\sinh (x)= \dfrac{e^{x}-e^{-x}}{2}$ and $\cosh (x)= \dfrac{e^{x}+e^{-x}}{2}$

For any real number let us say $x$, the hyperbolic sine of $x$, which is denoted as $\sinh (x)$, can be defined as: $\sinh (x)= \dfrac{e^{x}-e^{-x}}{2}$ For any real number let us say $x$, the hyperbolic cosine of $x$, which is denoted as $\cosh (x)$, can be defined as: $\cosh (x)= \dfrac{e^{x}+e^{-x}}{2}$