How to use the ASINH Function in Excel

In this article, we will learn about how to use ASINH function in Excel. 

SINH function is a Mathematical function to calculate the hyperbolic sine of the value. SINH function is built in excel function. Hyperbolic function of SINH defined using the exponential function.

Sinh (x) = (ex- e-x) / 2

Where ex = exponential function , e = 2.71828

So, it means Sine hyperbolic function returns the value as the formula stated above. Now if we wish to return the inverse of Sine hyperbolic function, excel ASINH function does our work. The below stated 

 x =  SINH -1(ex- e-x) / 2    { in mathematics }

 x =  ASINH [(ex- e-x) / 2]   { in Excel }

So, The inverse hyperbolic sine is the value whose hyperbolic sine is the number, so ASINH(SINH(number)) equals number.

ASINH ( SINH ( number ) ) = number

ASINH function in excel returns inverse of the Sine hyperbolic function in excel. The 


= ASINH ( number )

number : input any real number
Let’s understand this function using it in an example.

Here we have values which will be input to the function and we need to find the inverse of the hyperbolic sine value using the ASINH function in excel

Use the formula:

=SINH ( A2 )

A2 : number given as cell reference.

Here the argument to the function is provided as cell reference. As shown in the above snapshot, the Resultant comes out to be 0. 

The value will calculated  using the mathematical formulation stated :

x = SINH -1 (e0- e0) / 2  = SINH -1( 1 - 1 ) / 2 = SINH -10 = 0

Now copy the formula to other cells using the Ctrl + D shortcut key.

Excel calculates the inverse of the Hyperbolic sine of a number using the SINH function.

Here are some of the observations gathered using the ASINH function


  1. The function returns #VALUE! Error if the argument to the function is non - numeric. 
  2. The input argument to the function can be any real number.
  3. Argument to the function can be provided directly or using the cell reference in excel.

As you can see, we can get the inverse of the Sine hyperbolic function using ASINH function.

Hope you understood How to use ASINH function in Excel. Explore more articles on Mathematical function like ACOS H function and ATANH function here. Please state your query in the comment box below.

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