Returns the hyperbolic cosine of a number. Hyperbolic cosine is defined as (e^x + e^(-x))/2. Essential for advanced mathematics, physics, engineering, and calculations involving hyperbolic functions.
Master the fundamentals of Excel COSH function
The COSH function returns the hyperbolic cosine of a number. Hyperbolic cosine is defined as (e^x + e^(-x))/2, where e is Euler's number. Unlike regular cosine which is periodic, COSH is not periodic and grows exponentially. COSH(0) = 1, and cosh(-x) = cosh(x) (even function). Essential for advanced mathematics, physics (special relativity, catenary curves), engineering, and hyperbolic geometry.
Grows exponentially as x increases
Symmetric: cosh(-x) = cosh(x)
COSH returns values ≥ 1
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
=COSH(number)Any real number for which you want the hyperbolic cosine.
The hyperbolic cosine (always ≥ 1)
Description: Returns the hyperbolic cosine of a number
Calculate hyperbolic cosine
Returns 1 because cosh(0) = 1. COSH(0) = (e^0 + e^(-0))/2 = (1 + 1)/2 = 1.
Use COSH function in VBA
' Basic COSH in VBA
Range("C1").Value = Application.WorksheetFunction.Cosh(1)
' Returns: 1.543
' Calculate hyperbolic cosine
Sub CalculateCOSH()
Dim number As Double
number = Range("A1").Value
Dim result As Double
result = Application.WorksheetFunction.Cosh(number)
Range("B1").Value = result
End Sub
' Generate COSH curve
Sub GenerateCOS Curve()
Dim i As Integer
For i = -5 To 5
Dim value As Double
value = Application.WorksheetFunction.Cosh(i)
Range("A" & (i + 6)).Value = i
Range("B" & (i + 6)).Value = value
Next i
End Sub
' Calculate using EXP (alternative method)
Sub COSHWithEXP()
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 COSH(x)
End SubPerform hyperbolic function calculations
Special relativity and catenary curves
Advanced engineering calculations
Scientific and mathematical analysis
COSH returns #NUM! for very large values
Validate input range if neededSolution: COSH grows exponentially and may overflow for very large inputs. For very large x, COSH approaches infinity. Check input magnitude.
Mixing COSH (hyperbolic) with COS (circular)
COSH uses exponentials, COS uses anglesSolution: COSH is hyperbolic cosine using exponentials. COS is circular cosine using angles. They are different functions with different applications.
COSH results have many decimal places
=ROUND(COSH(A1), 4)Solution: Use ROUND for display: ROUND(COSH(value), digits). COSH can return very large numbers that need formatting.
Uncertainty about COSH vs manual EXP calculation
Use COSH(x) instead of (EXP(x)+EXP(-x))/2Solution: COSH(x) = (EXP(x) + EXP(-x))/2. COSH is more efficient and accurate than manual calculation. Use COSH directly.