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Release 9.2


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

Functions:

ItemDescription
SINH Function Computes the hyperbolic sine 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.
COSH Function 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.
TANH Function Computes the hyperbolic tangent 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.

The following functions can be computed based on the inverse of the above functions:

  • Hyperbolic Cotangent. Computed as 1/TANH.
  • Hyperbolic Secant. Computed as 1/COSH.
  • Hyperbolic Cosecant. Computed as 1/SINH. 

Also:

ItemDescription
ROUND Function Rounds input value to the nearest integer. Input can be an Integer, a Decimal, a column reference, or an expression. Optional second argument can be used to specify the number of digits to which to round.
RADIANS Function Computes the radians of an input value measuring degrees of an angle. The value can be a Decimal or Integer literal or a reference to a column containing numeric values.
DIVIDE Function Returns the value of dividing the first argument by the second argument. Equivalent to the / operator.

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

See Also for EXAMPLE - Trigonometry Hyperbolic Functions:

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