---
tag: 0X6C0MAF84
kind: concept
name: Hyperbolic tangent
msc: [33B10]
sources:
  - url: https://en.wikipedia.org/wiki/Hyperbolic_functions
    locator: Exponential definitions
---

## Summary

The hyperbolic tangent is the quotient of the hyperbolic sine by the hyperbolic cosine. It is a bounded, odd, strictly increasing function with range $(-1, 1)$. The node [[hyperbolic tangent|0MWYQTZ07Z]] gives the precise definition.