The atanh() function in R is “used to calculate the inverse hyperbolic tangent of a number”. For real numbers, -1 < x < 1. For complex numbers, the range is -Inf < x < -1 and 1 < x < Inf.
Syntax
atanh(x)
Parameters
x: It is a numeric value, array, or vector.
Example 1: How to use the atanh() function
atanh(1)
Output
[1] Inf
If you pass the 0 to the atanh() function, it will return 0.
atanh(0)
Output
[1] 0
Example 2: Calculating atanh() of a complex number
d <- 5 + 1i
atanh(d)
Output
[1] 0.194426+1.530881i
Example 3: Using atanh() function to a Vector
rv <- c(-1, 0.5, 0, 0.5, 1)
atanh(rv)
Output
[1] -Inf 0.5493061 0.0000000 0.5493061 Inf
Example 4: Passing a pi to the atanh() function
atanh(pi)
Output
[1] NaN
Warning message:
In atanh(pi) : NaNs produced
Let’s see another example of pi.
atanh(pi / 4)
Output
[1] 1.059306
Plot the atanh() function to a graph
We can use the seq() function to create a series of values and pass that to the plot() function, creating a line chart.
dt <- seq(-1, 1, by = 0.05)
plot(dt, atanh(dt), typ = "l", col = "red")
abline(v = 0, lty = 6, col = "blue")
Output
Other Hyperbolic Trigonometric Functions
The hyperbolic cosine of x (in radians).
The hyperbolic sine of x (in radians).
The hyperbolic tangent of x (in radians).
It is an inverse hyperbolic cosine (in radians).
It is an inverse hyperbolic cosine (in radians).
R atanh(T x)
It is an inverse hyperbolic tangent (in radians) of x.
That is it.

Krunal Lathiya is a Software Engineer with over eight years of experience. He has developed a strong foundation in computer science principles and a passion for problem-solving. In addition, Krunal has excellent knowledge of Data Science and Machine Learning, and he is an expert in R Language.