Returns the hyperbolic sine of a number. Hyperbolic sine is defined as (e^x - e^(-x))/2. Essential for advanced mathematics, physics, engineering, and calculations involving hyperbolic functions.
Master the fundamentals of Excel SINH function
The SINH function returns the hyperbolic sine of a number. Hyperbolic sine is defined as (e^x - e^(-x))/2, where e is Euler's number. Unlike regular sine which is periodic, SINH is not periodic and grows exponentially. SINH(0) = 0, and sinh(-x) = -sinh(x) (odd function). Essential for advanced mathematics, physics (special relativity, catenary curves), engineering, and hyperbolic geometry.
Grows exponentially as x increases
Antisymmetric: sinh(-x) = -sinh(x)
SINH(0) = 0
Defined using exponentials
Function-specific parameters
Function-specific return type
Hyperbolic functions and calculus
Special relativity, catenary curves
Advanced engineering calculations
Scientific and mathematical analysis
Exact matching required
Returns numeric position
Handles missing text gracefully
=SINH(number)Any real number for which you want the hyperbolic sine.
The hyperbolic sine (can be any real number)
Description: Returns the hyperbolic sine of a number
Calculate hyperbolic sine
Returns 0 because sinh(0) = 0. SINH(0) = (e^0 - e^(-0))/2 = (1 - 1)/2 = 0.
Use SINH function in VBA
' Basic SINH in VBA
Range("C1").Value = Application.WorksheetFunction.Sinh(1)
' Returns: 1.175
' Calculate hyperbolic sine
Sub CalculateSINH()
Dim number As Double
number = Range("A1").Value
Dim result As Double
result = Application.WorksheetFunction.Sinh(number)
Range("B1").Value = result
End Sub
' Generate SINH curve
Sub GenerateSINHCurve()
Dim i As Integer
For i = -5 To 5
Dim value As Double
value = Application.WorksheetFunction.Sinh(i)
Range("A" & (i + 6)).Value = i
Range("B" & (i + 6)).Value = value
Next i
End Sub
' Calculate using EXP (alternative method)
Sub SINHWithEXP()
Dim x As Double
x = Range("A1").Value
Dim result As Double
result = (Application.WorksheetFunction.Exp(x) - _
Application.WorksheetFunction.Exp(-x)) / 2
Range("B1").Value = result
' Equivalent to SINH(x)
End SubPerform hyperbolic function calculations
Special relativity and catenary curves
Advanced engineering calculations
Scientific and mathematical analysis
SINH returns #NUM! for very large values
Validate input range if neededSolution: SINH grows exponentially and may overflow for very large inputs. For very large x, SINH approaches infinity. Check input magnitude.
Mixing SINH (hyperbolic) with SIN (circular)
SINH uses exponentials, SIN uses anglesSolution: SINH is hyperbolic sine using exponentials. SIN is circular sine using angles. They are different functions with different applications.
SINH results have many decimal places
=ROUND(SINH(A1), 4)Solution: Use ROUND for display: ROUND(SINH(value), digits). SINH can return very large numbers that need formatting.
Uncertainty about SINH vs manual EXP calculation
Use SINH(x) instead of (EXP(x)-EXP(-x))/2Solution: SINH(x) = (EXP(x) - EXP(-x))/2. SINH is more efficient and accurate than manual calculation. Use SINH directly.