This example illustrates how to apply basic trigonometric functions to your transformations. All of the functions take inputs in radians.
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 |
|---|
|
Sine:
| D trans |
|---|
| RawWrangle | true |
|---|
| p03Value | 'SINrX' |
|---|
| Type | step |
|---|
| WrangleText | derive type: single value: round(sin(rX), 3) as: 'SINrX' |
|---|
| p01Name | Formula type |
|---|
| p01Value | Single row formula |
|---|
| p02Name | Formula |
|---|
| p02Value | round(sin(rX), 3) |
|---|
| p03Name | New column name |
|---|
| SearchTerm | New formula |
|---|
|
Cosine:
| D trans |
|---|
| RawWrangle | true |
|---|
| p03Value | 'COSrX' |
|---|
| Type | step |
|---|
| WrangleText | derive type: single value: round(cos(rX), 3) as: 'COSrX' |
|---|
| p01Name | Formula type |
|---|
| p01Value | Single row formula |
|---|
| p02Name | Formula |
|---|
| p02Value | round(cos(rX), 3) |
|---|
| p03Name | New column name |
|---|
| SearchTerm | New formula |
|---|
|
Tangent:
| D trans |
|---|
| RawWrangle | true |
|---|
| p03Value | 'TANrX' |
|---|
| Type | step |
|---|
| WrangleText | derive type: single value: round(tan(rX), 3) as: 'TANrX' |
|---|
| p01Name | Formula type |
|---|
| p01Value | Single row formula |
|---|
| p02Name | Formula |
|---|
| p02Value | round(tan(rX), 3) |
|---|
| p03Name | New column name |
|---|
| SearchTerm | New formula |
|---|
|
Cotangent:
| D trans |
|---|
| RawWrangle | true |
|---|
| p03Value | 'COTrX' |
|---|
| Type | step |
|---|
| WrangleText | derive type: single value: round(1 / tan(rX), 3) as: 'COTrX' |
|---|
| p01Name | Formula type |
|---|
| p01Value | Single row formula |
|---|
| p02Name | Formula |
|---|
| p02Value | round(1 / tan(rX), 3) |
|---|
| p03Name | New column name |
|---|
| SearchTerm | New formula |
|---|
|
Secant:
| D trans |
|---|
| RawWrangle | true |
|---|
| p03Value | 'SECrX' |
|---|
| Type | step |
|---|
| WrangleText | derive type: single value: round(1 / cos(rX), 3) as: 'SECrX' |
|---|
| p01Name | Formula type |
|---|
| p01Value | Single row formula |
|---|
| p02Name | Formula |
|---|
| p02Value | round(1 / cos(rX), 3) |
|---|
| p03Name | New column name |
|---|
| SearchTerm | New formula |
|---|
|
Cosecant:
| D trans |
|---|
| RawWrangle | true |
|---|
| p03Value | 'CSCrX' |
|---|
| Type | step |
|---|
| WrangleText | derive type: single value: round(1 / sin(rX), 3) as: 'CSCrX' |
|---|
| p01Name | Formula type |
|---|
| p01Value | Single row formula |
|---|
| p02Name | Formula |
|---|
| p02Value | round(1 / sin(rX), 3) |
|---|
| p03Name | New column name |
|---|
| SearchTerm | New formula |
|---|
|
Results:
| X | rX | COTrX | SECrX | CSCrX | TANrX | COSrX | SINrX |
|---|
| -30 | -0.524 | -1.73 | 1.155 | -1.999 | -0.578 | 0.866 | -0.5 |
| 0 | 0 | null | 1 | null | 0 | 1 | 0 |
| 30 | 0.524 | 1.73 | 1.155 | 1.999 | 0.578 | 0.866 | 0.5 |
| 45 | 0.785 | 1.001 | 1.414 | 1.415 | 0.999 | 0.707 | 0.707 |
| 60 | 1.047 | 0.578 | 1.999 | 1.155 | 1.731 | 0.5 | 0.866 |
| 90 | 1.571 | 0 | -4909.826 | 1 | -4909.826 | 0 | 1 |
| 120 | 2.094 | -0.577 | -2.001 | 1.154 | -1.734 | -0.5 | 0.866 |
| 135 | 2.356 | -1 | -1.414 | 1.414 | -1 | -0.707 | 0.707 |
| 180 | 3.142 | 2454.913 | -1 | -2454.913 | 0 | -1 | 0 |
