# hyperbolic sine

## English

### Noun

hyperbolic sine (plural hyperbolic sines)

1. (mathematics) A hyperbolic function that is the analogue of the sine function for hyperbolic spaces, taking in a hyperbolic angle as an argument and returning the y-coordinate for the corresponding point on the unit hyperbola. It is written in symbol sinh and can be represented as: ${\displaystyle \sinh(x)={\tfrac {1}{2}}(e^{x}-e^{-x})}$