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# sinh (<valarray>)

Operates on the elements of an input valarray, returning a valarray whose elements are equal to the hyperbolic sine of the elements of the input valarray.

## Syntax

```
template<class Type>
valarray<Type> sinh(
const valarray<Type>& _Left
);
```

## Parameters

_Left

The input valarray whose elements are to be operated on by the member function.

## Return Value

A valarray whose elements are equal to the hyperbolic sine of the elements of the input valarray.

## Remarks

Identities defining the hyperbolic sine in terms of exponential function:

sinh ( z ) = ( exp ( z ) – exp ( -z ) ) / 2

## Example

```// valarray_sinh.cpp
// compile with: /EHsc
#include <valarray>
#include <iostream>
#include <iomanip>

int main( )
{
using namespace std;
double pi = 3.14159265359;
int i;

valarray<double> va1 ( 9 );
for (i = 0 ; i < 9 ; i++ )
va1 [ i ] =  pi * ( 0.25 * i - 1 );
valarray<double> va2 ( 9 );

cout << "The initial valarray is:\n";
for (i = 0 ; i < 9 ; i++ )
cout << setw( 10 ) << va1 [ i ]
<< "   radians, which is   "
<< setw( 5 ) << ( 180/pi ) * va1 [ i ]
<< "  degrees" << endl;
cout << endl;

va2 = sinh ( va1 );
cout << "The hyperbolic sine of the initial valarray is:\n";
for ( i = 0 ; i < 9 ; i++ )
cout << va2 [ i ] << endl;
}
```
```The initial valarray is:
-3.14159   radians, which is    -180  degrees
-2.35619   radians, which is    -135  degrees
-1.5708   radians, which is     -90  degrees
-0.785398   radians, which is     -45  degrees
0   radians, which is       0  degrees
0.785398   radians, which is      45  degrees
1.5708   radians, which is      90  degrees
2.35619   radians, which is     135  degrees
3.14159   radians, which is     180  degrees

The hyperbolic sine of the initial valarray is:
-11.5487
-5.22797
-2.3013
-0.868671
0
0.868671
2.3013
5.22797
11.5487```