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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` `Single row formula` `round(radians(X), 3)` `'rX'`

Hyperbolic Sine:

Transformation Name `New formula` `Single row formula` `round(sinh(rX), 3)` `'SINHrX'`

Hyperbolic Cosine:

Transformation Name `New formula` `Single row formula` `round(cosh(rX), 3)` `'COSHrX'`

Hyperbolic Tangent:

Transformation Name `New formula` `Single row formula` `round(tanh(rX), 3)` `'TANHrX'`

Hyperbolic Cotangent:

Transformation Name `New formula` `Single row formula` `round(divide(1, tanh(rX)), 3)` `'COTHrX'`

Hyperbolic Secant:

Transformation Name `New formula` `Single row formula` `round(divide(1, cosh(rX)), 3)` `'SECHrX'`

Hyperbolic Cosecant:

Transformation Name `New formula` `Single row formula` `round(divide(1, sinh(rX)), 3)` `'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