The acosh() function in R is “used to calculate the inverse hyperbolic cosine of a value“. The hyperbolic arccosine is the inverse of the hyperbolic cosine function, which means that acosh(x) = cosh-1(x).
Syntax
acosh(x)
Parameters
x: It is a numeric value, array, or vector.
Example 1
To calculate the hyperbolic arccosine in R, you can use the acosh() function. The inverse hyperbolic cosine function is defined by x == cosh(y).
acosh(1)
Output
[1] 0
If you pass the 0 to the atanh() function, it will return 0.
acosh(0)
Output
[1] 0
Example 2
Define and pass a complex value to the acosh() function.
dt <- 8 + 9i
acosh(dt)
Output
[1] 3.181721+0.845865i
Example 3
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 = 0.01)
plot(dt, acosh(dt), type = "l", col = "red")
Output
Warning message:
In acosh(dt) : NaNs produced
The function returns the NaN value, so it can’t draw a graph based on that value.
Example 4
To create a Vector in R, use the c() function. Then pass that vector to the acosh() function.
rv <- c(-1, 0.5, 0, 0.5, 1)
acosh(rv)
Output
[1] NaN NaN NaN NaN 0
Warning message:
In acosh(rv) : NaNs produced
Example 5
The pi is an inbuilt constant in R programming, and its value is 3.141593.
Let’s find the pi constant’s acosh() value.
acosh(pi)
Output
[1] 1.811526
Let’s see another example of pi.
acosh(pi / 4)
Output
[1] NaN
Warning message:
In acosh(pi/4) : NaNs produced
That is it for acosh() function in R.

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.