Hyperbolic {base} | R Documentation |

## Hyperbolic Functions

### Description

These functions give the obvious hyperbolic functions. They
respectively compute the hyperbolic cosine, sine, tangent, and their
inverses, arc-cosine, arc-sine, arc-tangent (or ‘*area cosine*’,
etc).

### Usage

```
cosh(x)
sinh(x)
tanh(x)
acosh(x)
asinh(x)
atanh(x)
```

### Arguments

`x` |
a numeric or complex vector |

### Details

These are internal generic primitive functions: methods
can be defined for them individually or via the
`Math`

group generic.

Branch cuts are consistent with the inverse trigonometric functions
`asin`

*et seq*, and agree with those defined in
Abramowitz & Stegun, figure 4.7, page 86.
The behaviour actually on the cuts
follows the C99 standard which requires continuity coming round the
endpoint in a counter-clockwise direction.

### S4 methods

All are S4 generic functions: methods can be defined
for them individually or via the
`Math`

group generic.

### References

Abramowitz, M. and Stegun, I. A. (1972)
*Handbook of Mathematical Functions.* New York: Dover.

Chapter 4. Elementary Transcendental Functions: Logarithmic,
Exponential, Circular and Hyperbolic Functions

### See Also

The trigonometric functions, `cos`

, `sin`

,
`tan`

, and their inverses
`acos`

, `asin`

, `atan`

.

The logistic distribution function `plogis`

is a shifted
version of `tanh()`

for numeric `x`

.

*base*version 4.5.0 Index]