EXAMPLE

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

Functions:

D generate list excerpts

pages	SINH Function,COSH Function,TANH Function

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

Also:

D generate list excerpts

pages	ROUND Function,RADIANS Function,DIVIDE Function

Source:

In the following sample, input values are in degrees:

Transformation:

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

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

D trans

RawWrangle	true
p03Value	'rX'
Type	step
WrangleText	derive type: single value: round(radians(X), 3) as: 'rX'
p01Name	Formula type
p01Value	Single row formula
p02Name	Formula
p02Value	round(radians(X), 3)
p03Name	New column name
SearchTerm	New formula

Hyperbolic Sine:

D trans

RawWrangle	true
p03Value	'SINHrX'
Type	step
WrangleText	derive type: single value: round(sinh(rX), 3) as: 'SINHrX'
p01Name	Formula type
p01Value	Single row formula
p02Name	Formula
p02Value	round(sinh(rX), 3)
p03Name	New column name
SearchTerm	New formula

Hyperbolic Cosine:

D trans

RawWrangle	true
p03Value	'COSHrX'
Type	step
WrangleText	derive type: single value: round(cosh(rX), 3) as: 'COSHrX'
p01Name	Formula type
p01Value	Single row formula
p02Name	Formula
p02Value	round(cosh(rX), 3)
p03Name	New column name
SearchTerm	New formula

Hyperbolic Tangent:

D trans

RawWrangle	true
p03Value	'TANHrX'
Type	step
WrangleText	derive type: single value: round(tanh(rX), 3) as: 'TANHrX'
p01Name	Formula type
p01Value	Single row formula
p02Name	Formula
p02Value	round(tanh(rX), 3)
p03Name	New column name
SearchTerm	New formula

Hyperbolic Cotangent:

D trans

RawWrangle	true
p03Value	'COTHrX'
Type	step
WrangleText	derive type: single value: round(divide(1, tanh(rX)), 3) as: 'COTHrX'
p01Name	Formula type
p01Value	Single row formula
p02Name	Formula
p02Value	round(divide(1, tanh(rX)), 3)
p03Name	New column name
SearchTerm	New formula

Hyperbolic Secant:

D trans

RawWrangle	true
p03Value	'SECHrX'
Type	step
WrangleText	derive type: single value: round(divide(1, cosh(rX)), 3) as: 'SECHrX'
p01Name	Formula type
p01Value	Single row formula
p02Name	Formula
p02Value	round(divide(1, cosh(rX)), 3)
p03Name	New column name
SearchTerm	New formula

Hyperbolic Cosecant:

D trans

RawWrangle	true
p03Value	'CSCHrX'
Type	step
WrangleText	derive type: single value: round(divide(1, sinh(rX)), 3) as: 'CSCHrX'
p01Name	Formula type
p01Value	Single row formula
p02Name	Formula
p02Value	round(divide(1, sinh(rX)), 3)
p03Name	New column name
SearchTerm	New formula

Results:

X	rX	TANHrX	COTHrX	COSHrX	SECHrX	SINHrX	CSCHrX
-30	-0.524	-0.481	-2.079	1.14	0.877	-0.548	-1.825
0	0	0	null	1	1	0	null
30	0.524	0.481	2.079	1.14	0.877	0.548	1.825
45	0.785	0.656	1.524	1.324	0.755	0.868	1.152
60	1.047	0.781	1.28	1.6	0.625	1.249	0.801
90	1.571	0.917	1.091	2.51	0.398	2.302	0.434
120	2.094	0.97	1.031	4.12	0.243	3.997	0.25
135	2.356	0.982	1.018	5.322	0.188	5.227	0.191
180	3.142	0.996	1.004	11.597	0.086	11.553	0.087

D s also

label	example_trigonometry_hyperbolic_functions

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