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SINH Function
Summary
The Excel SINH function calculates the hyperbolic sine of a given number, a key mathematical operation used in engineering, physics, and statistical analysis for modeling exponential growth and decay processes.
Syntax
SINH(number)Parameters
| Parameter | Type | Required | Description |
|---|---|---|---|
| number | Number |
Yes | The real number input for hyperbolic sine calculation |
Using the SINH Function
SINH is a fundamental trigonometric function that returns the hyperbolic sine value, following the formula (e^{x} - e^{-x})/2. It's widely used in calculus, physics for modeling catenary curves, and statistics for probability distributions.
Common SINH Examples
Basic SINH Calculation
=SINH(0.5)Calculates hyperbolic sine of 0.5, returning approximately 0.521095.
Probability Calculation
=2.868*SINH(0.0342*1.03)Used in statistical probability calculation, returns approximately 0.1010491 as shown in official documentation.
Compare with Regular SIN
=SINH(1)&" vs "&SIN(1)Compares hyperbolic sine (1.175201) vs trigonometric sine (0.841471) of 1.
Frequently Asked Questions
Common Errors and Solutions
#VALUE!
Cause: Number argument is not a valid numeric value
Solution: Ensure the input is a real number, not text or invalid reference
#NUM!
Cause: Input causes numeric overflow (extremely large values)
Solution: Use smaller input values within Excel's numeric range
Notes
- Hyperbolic sine formula: SINH(x) = (e^x - e^{-x})/2
- For inverse hyperbolic sine, use ASINH function
- SINH pairs with COSH and TANH for complete hyperbolic set
- Useful in Excel chart smoothing and growth modeling
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 11, 2025
Update frequency: As needed
Excel versions tested: Excel 2007+