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$sinh (aggregation)

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$sinh

New in version 4.2.

Returns the hyperbolic sine of a value that is measured in radians.

$sinh has the following syntax:

copy 
{ $sinh: <expression> }

$sinh takes any valid expression that resolves to a number, measured in radians. If the expression returns a value in degrees, use the $degreesToRadians operator to convert the value to radians.

By default $sinh returns values as a double. $sinh can also return values as a 128-bit decimal if the <expression> resolves to a 128-bit decimal value.

For more information on expressions, see Expressions.

Behavior

null, NaN, and +/- Infinity

If the input argument resolves to a value of null or refers to a field that is missing, $sinh returns null. If the argument resolves to NaN, $sinh returns NaN. If the argument resolves to negative or positive Infinity, $sinh returns negative or positive Infinity respectively.

Example Results
{ $sinh: NaN } NaN
{ $sinh: null } null
{ $sinh: -Infinity } -Infinity
{ $sinh: Infinity } Infinity

Example

The following trigonometry collection contains a document that stores an angle value measured in degrees:

copy 
db.trigonometry.insertOne(
   {
      "_id" : ObjectId( "5c50782193f833234ba90d25" ),
      "angle" : NumberDecimal( "53.1301023541559787031443874490659" )
   }
)

The following aggregation operation uses the $sinh expression to calculate the hyperbolic sine of angle and adds it to the input document using the $addFields pipeline stage:

copy 
db.trigonometry.aggregate( [
   {
      $addFields : {
         "sinh_output" : { $sinh : { $degreesToRadians : "$angle" } }
      }
   }
] )

The $degreesToRadians expression converts the angle in degrees to radians.

Example output:

{
   "_id" : ObjectId("5c50782193f833234ba90d25"),
   "angle" : NumberDecimal("53.1301023541559787031443874490659"),
   "sinh_output" : NumberDecimal("1.066020404405732132503284522731829")
}

Because angle is stored as a 128-bit decimal, the $sinh output is also a 128-bit decimal.

The following trigonometry collection contains a document that stores an angle value measured in radians:

copy 
db.trigonometry.insertOne(
   {
      "_id" : ObjectId( "5c50782193f833234ba90d35" ),
      "angle" : NumberDecimal( "1.6301023541559787031443874490659" )
   }
)

The following aggregation operation uses the $sinh expression to calculate the hyperbolic sine of angle and adds it to the input document using the $addFields pipeline stage:

copy 
db.trigonometry.aggregate( [
   {
      $addFields : {
         "sinh_output" : { $sinh : "$angle" }
      }
   }
] )

Example output:

{
   "_id" : ObjectId("5c50782193f833234ba90d35"),
   "angle" : NumberDecimal("1.6301023541559787031443874490659"),
   "sinh_output" : NumberDecimal("2.454243813557362033961729701069671")
}

Because angle is stored as a 128-bit decimal, the $sinh output is also a 128-bit decimal.

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