How to use the Excel COSH function

The Excel COSH function returns the hyperbolic cosine of a number. In geometric terms, the function returns the x-component of the point on the unit hyperbola defined by a hyperbolic angle. For example, the hyperbolic sine of 0 is 1, since the point corresponding to the hyperbolic angle of 0 is P=(1,0), where P=(x,y).

Syntax: =COSH(number)

The COSH function syntax has the following arguments:

  • Number (Required): Any real number for which you want to find the hyperbolic cosine.

Example: Let’s look at some Excel COSH function examples and explore how to use the COSH function as a worksheet function in Microsoft Excel:

Syntax:  =COSH(A2)

Result:

Based on the Excel spreadsheet above, the following COSH examples would return:

Syntax: =COSH(A3)
Result: 1

Syntax: =COSH(A4)
Result: 2.352409615

Syntax: =COSH(A5)
Result: 1.810655567

Syntax: =COSH(A6)
Result: 5.556947167

Syntax: =COSH(A7)
Result: 2457.384522

Syntax: =COSH(A8)
Result: 12.2866462

Syntax: =COSH(A9)
Result: 228.5734504

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