The ACOTH function in Google Sheets is a mathematical function used to compute the inverse hyperbolic cotangent of a specified value. This function is essential for users engaged in complex mathematical computations, particularly in fields such as engineering, physics, and applied mathematics. By leveraging this function, users can easily derive the inverse hyperbolic cotangent without the need for manual calculations.

Syntax

ACOTH(value)

• value: Required. This represents the number for which the inverse hyperbolic cotangent is to be calculated. The number must be outside the interval of -1 and 1, inclusive, to return a valid result.

Example #1

=ACOTH(2)

This function computes the inverse hyperbolic cotangent of 2, resulting in approximately 0.5493.

Example #2

=ACOTH(0.5)

Since 0.5 is within the invalid range, this function returns an error, as it requires the input to be outside -1 and 1.

Example #3

=ACOTH(-3)

This function calculates the inverse hyperbolic cotangent of -3, yielding a result of approximately -0.4870.

Error handling

• NUM!: This error indicates that the input value is within the prohibited range of -1 to 1, resulting in an invalid operation for ACOTH.
• VALUE!: This error can occur if the input is not a number, implying that the function expects a numerical value for proper execution.

Conclusion

In summary, the ACOTH function in Google Sheets is a powerful tool for calculating the inverse hyperbolic cotangent of a value. By understanding its syntax and the parameters involved, users can effectively incorporate this function into their spreadsheets for advanced mathematical operations. Just ensure that input values are outside the specified range to avoid errors and obtain precise results.