The SECH function in Excel is used to calculate the hyperbolic secant of a given angle in radians. The hyperbolic secant is the reciprocal of the hyperbolic cosine function. The function is part of Excel’s mathematical functions, and it is available in Excel 2013 and later versions.

Syntax

SECH(number)

• number: The angle in radians for which you want to find the hyperbolic secant.

Usage

• Inputting Direct Numbers:

You can directly input the number in radians into the SECH function.

   =SECH(1)

• Referencing Cells:

You can reference a cell that contains the number in radians.

   =SECH(A1)

• Using in Formulas:

You can incorporate the SECH function into more complex formulas.

   =SECH(B1 + B2)

Example

Suppose you have an angle in radians in cell A1 and you want to calculate its hyperbolic secant.

  =SECH(A1)

• If A1 contains the value `1`, enter the following formula:
• This will return approximately `0.648`.

Points to Remember

  =SECH(RADIANS(degrees))

• Ensure the input is in radians. If you have degrees, you need to convert it to radians first using the `RADIANS` function:
• If the absolute value of the input is very large, the result will approach zero.
• The SECH function returns a numeric value, and if the argument isn’t numeric, Excel will return a `#VALUE!` error.

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