The ATANH function in Google Sheets is designed to compute the inverse hyperbolic tangent of a given number. This function is crucial in various mathematical applications, especially in areas involving hyperbolic functions and mathematical modeling.

Syntax

ATANH(value)

• value: The numeric input for which the inverse hyperbolic tangent needs to be calculated. This value must fall within the range of -1 to 1 (exclusive).

Example #1

ATANH(0.5)

This function call calculates the inverse hyperbolic tangent of 0.5. The result will be approximately 0.549306.

Example #2

ATANH(0.9)

This function computes the inverse hyperbolic tangent of 0.9, yielding a result of approximately 1.472219.

Example #3

ATANH(-0.7)

In this instance, the function returns the inverse hyperbolic tangent of -0.7, which is about -0.867119.

Error handling

• NUM! This error occurs if the input value is outside the range of -1 to 1 (exclusive). For example, ATANH(2) would return this error.
• VALUE! This error arises when the input is not a numeric value, like the function call ATANH(“text”).

Conclusion

The ATANH function is a valuable tool in Google Sheets for those needing to compute the inverse hyperbolic tangent of numeric values. Its straightforward syntax and utility in mathematical computations make it essential for users across various fields.