Hyperbolic functions in R calculate the **hyperbolic** **cosine**, **sine**, **tangent**, and their inverses, **arc-cosine**, **arc-sine**, **arc-tangent.**

**cosh in R**

The cosh() is a built-in R function that calculates the hyper tangent of cosine value. It accepts the numerical value as an argument and returns the hyper tangent of the cosine of that numeric value.

To calculate the hyper tangent of cosine value in R, use the cosh() function. The **cosh() function** calculates the hyperbolic cosine of the given value.

**Syntax**

`cosh(x)`

**Parameters**

The **x** is a column to compute on.

**Example**

Let’s calculate the cosh value of 1.

`cosh(1)`

**Output**

`[1] 1.543081`

Let’s calculate the cosh value of 0.

`cosh(0)`

**Output**

`[1] 1`

**Calculating cosh() of complex number**

Define a complex value and pass that value to the cosh() function.

```
d <- 5 + 1i
cosh(d)
```

**Output**

`[1] 40.09581+62.43985i`

**Plotting the cosh() function to a graph**

We can use the seq() function to create a series of values and pass that to the plot() function, which will create a line chart.

```
dt <- seq(-1, 1, by = 0.05)
plot(dt, cosh(dt), typ = "l", col = "red")
abline(v = 0, lty = 6, col = "blue")
```

**Output**

**Applying cosh() function to a Vector**

To create a Vector in R, use the c() function. Then pass that vector to the cosh() function.

```
rv <- c(-1, 0.5, 0, 0.5, 1)
cosh(rv)
```

**Output**

`[1] 1.543081 1.127626 1.000000 1.127626 1.543081`

**Passing a pi to the cosh() function**

The **pi **is an inbuilt constant in R programming, and its value is **3.141593**.

Let’s find the pi constant’s **cosh()** value.

`cosh(pi)`

**Output**

`[1] 11.59195`

Let’s see another example of **pi**.

`cosh(pi / 4)`

**Output**

`[1] 1.324609`

That is it for this tutorial**.**