The hyperbolic functions are analogs of the circular function or the trigonometric functions. The hyperbolic function occurs in the solutions of linear differential equations, calculation of distance and angles in the hyperbolic geometry, Laplace’s equations in the cartesian coordinates.
Equation of sinh() function
The equation of the sinh() function is the following.
The hyperbolic functions are defined within the algebraic expressions, including the exponential function (e^x) and its inverse exponential functions (e^-x), where e is the Euler’s constant.
sinh in R
The sinh() is a built-in R function that takes a numerical value as an argument and returns the hyperbolic sine value of the numeric value. To calculate the hyperbolic sine value of the numeric value in R, use the sinh() function.
x: It is a numeric value.
 0  1.175201
Calculating sinh() of complex number
Define a complex value and pass that value to the sinh() function.
d <- 5 + 1i sinh(d)
Plotting the sinh() function to a graph
We will use the seq() function to create a series of values and pass that to the plot() function, which will create a line chart using the sinh() function.
dt <- seq(-1, 1, by = 0.05) plot(dt, sinh(dt), typ = "l", col = "red") abline(v = 0, lty = 6, col = "blue")
Applying sinh() function to a Vector
To create a Vector in R, use the c() function. Then pass that vector to the sinh() function.
rv <- c(-1, 0.5, 0, 0.5, 1) sinh(rv)
 -1.1752012 0.5210953 0.0000000 0.5210953 1.1752012
Passing a pi to the sinh() function
The pi is an inbuilt constant in R programming, and its value is 3.141593.
Let’s find the pi constant’s sinh() value.
Let’s see another example of pi.
sinh(pi / 4)
That is it for the sinh() function in R programming.