ACOSH

Computes the inverse hyperbolic cosine of the input value. This operation is the inverse of the hyperbolic cosine and is commonly used in analytical solutions of conduction and shape-factor expressions.

The function returns \operatorname{arcosh}(x), defined for x \ge 1:

y = \operatorname{arcosh}(x) \iff x = \cosh(y)

Excel Usage

=ACOSH(x)

• x (float, required): Input value (-).

Returns (float): Inverse hyperbolic cosine of the input (-).

Example 1: Acosh of two

Inputs:

x
2

Excel formula:

=ACOSH(2)

Expected output:

1.31696

Example 2: Acosh of three

Inputs:

x
3

Excel formula:

=ACOSH(3)

Expected output:

1.76275

Example 3: Acosh of ten

Inputs:

x
10

Excel formula:

=ACOSH(10)

Expected output:

2.99322

Example 4: Acosh of one

Inputs:

x
1

Excel formula:

=ACOSH(1)

Expected output:

0

Python Code

Show Code

from ht.conduction import acosh as ht_acosh

def acosh(x):
    """
    Compute the inverse hyperbolic cosine.

    See: https://ht.readthedocs.io/en/latest/ht.conduction.html

    This example function is provided as-is without any representation of accuracy.

    Args:
        x (float): Input value (-).

    Returns:
        float: Inverse hyperbolic cosine of the input (-).
    """
    try:
        return ht_acosh(x)
    except Exception as e:
        return f"Error: {str(e)}"

Online Calculator

x *

Input value (-).