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ASINH Function
Summary
The Excel ASINH function calculates the inverse hyperbolic sine of a given number. This mathematical function returns the value whose hyperbolic sine equals the input number, making it essential for advanced engineering, physics, and statistical calculations involving hyperbolic functions.
Syntax
ASINH(number)Parameters
| Parameter | Type | Required | Description |
|---|---|---|---|
| number | Number |
Yes | The real number whose inverse hyperbolic sine you want to find |
Using the ASINH Function
ASINH is a specialized mathematical function used in scenarios requiring hyperbolic trigonometry, such as physics simulations, electrical engineering calculations, and advanced statistical modeling. It reverses the hyperbolic sine operation, providing the angle whose hyperbolic sine matches the input value.
Common ASINH Examples
Basic ASINH Calculation
=ASINH(-2.5)Returns the inverse hyperbolic sine of -2.5, approximately -1.647231146. Demonstrates handling of negative inputs.
Large Value Example
=ASINH(10)Calculates inverse hyperbolic sine of 10, yielding approximately 2.99822295. Shows precision with larger inputs.
Cell Reference Usage
=ASINH(A1)Uses a cell value for dynamic inverse hyperbolic sine calculation.
Frequently Asked Questions
Common Errors and Solutions
#VALUE!
Cause: Non-numeric input provided
Solution: Ensure the number argument contains a valid numeric value
#NAME?
Cause: Function name misspelled
Solution: Use exact spelling: ASINH (all uppercase)
Notes
- ASINH(SINH(number)) = number (mathematical identity)
- Supports decimal and integer inputs equally
- Results grow logarithmically for large inputs
- Part of Excel's hyperbolic function set
Compatibility
Available in: Excel 2007, Excel 2010, Excel 2013, Excel 2016, Excel 2019, Excel 2021, Microsoft 365
Not available in: Excel 2003 and earlier
Content last reviewed: December 9, 2025
Update frequency: As needed
Excel versions tested: Excel 2007+