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Computes the hyperbolic cosine of an input value for a hyperbolic angle measured in radians. The value can be a Decimal or Integer literal or a reference to a column containing numeric values.

A hyperbola is the shape created by taking a planar slice of two cones whose tips are touching each other. For two identical cones, the curves of the slices mirror each other, no matter the angle of the plane through the cones.

  • The two slices represent the set of points on a grid such that:

    where k is some constant.

  • The hyperbolic trigonometric functions measure trigonometric calculations for the right-side (x > 0) slice of the hyperbola.
  • For more information, see https://en.wikipedia.org/wiki/Hyperbola.

The hyperbolic cosine (COSH) function is computed using the following formula:

Hyperbolic secant:

The hyperbolic secant is the following:


You can convert from degrees to radians. For more information, see RADIANS Function.

Basic Usage

Numeric literal example:

Output: Returns the computation of the hyperbolic cosine of a 30-degree angle, which is converted to radians before being passed to the COSH function. The output value is rounded to three decimals: 1.140.

Column reference example:

Output: Returns the hyperbolic cosine of the radians values in X column.

Syntax


ArgumentRequired?Data TypeDescription
numeric_valueYstring, decimal, or integerName of column, Decimal or Integer literal, or function returning those types to apply to the function

For more information on syntax standards, see Language Documentation Syntax Notes.

numeric_value

Name of the column, Integer or Decimal literal, or function returning that data type to apply to the function.

  • Missing input values generate missing results.
  • Literal numeric values should not be quoted. Quoted values are treated as strings.
  • Multiple columns and wildcards are not supported.

Usage Notes:

Required?Data TypeExample Value
YesString (column reference) or Integer or Decimal literal0.5

Examples

Example - Hyperbolic trigonometry functions

This example illustrates how to apply hyperbolic trigonometric functions to your transformations. All of the functions take inputs in radians:

  • Hyperbolic Sine. See SINH Function.
  • Hyperbolic Cosine. See COSH Function.
  • Hyperbolic Tangent. See TANH Function.
  • Hyperbolic Cotangent. Computed as 1/TANH.
  • Hyperbolic Secant. Computed as 1/COSH.
  • Hyperbolic Cosecant. Computed as 1/SINH. 

Source:

In the following sample, input values are in degrees:


X
-30
0
30
45
60
90
120
135
180


Transformation:

In this example, all values are rounded to three decimals for clarity.

First, the above values in degrees must be converted to radians. 

Transformation Name New formula
Parameter: Formula type Single row formula
Parameter: Formula round(radians(X), 3)
Parameter: New column name 'rX'

Hyperbolic Sine:

Transformation Name New formula
Parameter: Formula type Single row formula
Parameter: Formula round(sinh(rX), 3)
Parameter: New column name 'SINHrX'

Hyperbolic Cosine:

Transformation Name New formula
Parameter: Formula type Single row formula
Parameter: Formula round(cosh(rX), 3)
Parameter: New column name 'COSHrX'

Hyperbolic Tangent:

Transformation Name New formula
Parameter: Formula type Single row formula
Parameter: Formula round(tanh(rX), 3)
Parameter: New column name 'TANHrX'

Hyperbolic Cotangent:

Transformation Name New formula
Parameter: Formula type Single row formula
Parameter: Formula round(divide(1, tanh(rX)), 3)
Parameter: New column name 'COTHrX'

Hyperbolic Secant:

Transformation Name New formula
Parameter: Formula type Single row formula
Parameter: Formula round(divide(1, cosh(rX)), 3)
Parameter: New column name 'SECHrX'

Hyperbolic Cosecant:

Transformation Name New formula
Parameter: Formula type Single row formula
Parameter: Formula round(divide(1, sinh(rX)), 3)
Parameter: New column name 'CSCHrX'


Results:

XrXTANHrXCOTHrXCOSHrXSECHrXSINHrXCSCHrX
-30-0.524-0.481-2.0791.140.877-0.548-1.825
000null110null
300.5240.4812.0791.140.8770.5481.825
450.7850.6561.5241.3240.7550.8681.152
601.0470.7811.281.60.6251.2490.801
901.5710.9171.0912.510.3982.3020.434
1202.0940.971.0314.120.2433.9970.25
1352.3560.9821.0185.3220.1885.2270.191
1803.1420.9961.00411.5970.08611.5530.087

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