| $asinh(x) =ln(x+√(x^{2}+1))$ | 
|------------------------------| 

| $acosh(x) =ln(x+√(x^{2}-1))$ | 
|------------------------------| 

|$atanh(x)=\frac {1}{2}ln(\frac {1+x}{1-x})$|
|-------------------------------|

#     
## Syntax

```ruby
asinh(angle)
acosh(angle)
atanh(angle)
```
## Parameters
These functions require an angle in radians as a parameter. 
- The angle sent to `acosh()` should be greater than 1 otherwise it returns domain error.
- The angle sent to `atanh()` should be between 1 and -1 otherwise it returns domain error.


## Return value
* The `asinh()` function returns the inverse hyperbolic sine of the angle sent as a parameter.

* The `acosh()` function returns the inverse hyperbolic cosine of the angle sent as a parameter.

* The `atanh()` function returns the inverse hyperbolic tangent of the angle sent as a parameter.


## Example
The code below demonstrates how to use the inverse hyperbolic functions function in Ruby:


#positive number in radians
print "The value of asinh(0.5) : ",  Math.asinh(0.5), "\n"
print "The value of acosh(1.5) : ",  Math.acosh(1.5), "\n"
print "The value of atanh(0.5) : ",  Math.atanh(0.5), "\n"

#negative number in radians
print "The value of asinh(-0.5) : ",  Math.asinh(-0.5), "\n"
print "The value of atanh(-0.5) : ",  Math.atanh(-0.5), "\n"

#zero
print "The value of asinh(0) : ",  Math.asinh(0), "\n"
print "The value of atanh(0) : ",  Math.atanh(0), "\n"


How to use inverse hyperbolic functions in Ruby

Ruby's asinh(), acosh(), and atanh() functions compute inverse hyperbolic values based on various input angles in radians.

How to use inverse hyperbolic functions in Ruby

The asinh() function

The acosh() function

The atanh() function

Syntax

Parameters

Return value

Example

Explanation