# Documentation/Calc Functions/SINH

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SINH

Mathematical

## Summary:

Calculates the hyperbolic sine (sinh) of a hyperbolic angle expressed in radians.

SINH(Number)

## Returns:

Returns a real number that is the hyperbolic sine of the specified hyperbolic angle.

## Arguments:

Number is a real number, or a reference to a cell containing that number, that is the hyperbolic angle in radians whose hyperbolic sine is to be calculated.

• If Number is non-numeric, then SINH reports a #VALUE! error.

The formula for the hyperbolic sine of x is:

$\displaystyle{ \sinh(x)~=~\frac{e^x-e^{-x}}{2} }$

The figure below illustrates the function SINH.

SINH function

## Examples:

Formula Description Returns
=SINH(0) Hyperbolic sine of 0. 0
=SINH(D1) where cell D1 contains the number -2. Hyperbolic sine of -2. -3.62686040784702
=ASINH(SINH(3)) The hyperbolic sine of 3 radians is taken and then the inverse hyperbolic sine of that value is calculated. 3

SINH