EXAMPLE - Trigonometry Functions
This example illustrates how to apply basic trigonometric functions to your transformations. All of the functions take inputs in radians.
Sine. See SIN Function.
Cosine. See COS Function.
Tangent. See TAN Function.
Cotangent. Computed as 1/TAN.
Secant. Computed as 1/COS.
Cosecant. Computed as 1/SIN.
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 |
|
|---|---|
Parameter: Formula type | Single row formula |
Parameter: Formula | round(radians(X), 3) |
Parameter: New column name | 'rX' |
Sine:
Transformation Name |
|
|---|---|
Parameter: Formula type | Single row formula |
Parameter: Formula | round(sin(rX), 3) |
Parameter: New column name | 'SINrX' |
Cosine:
Transformation Name |
|
|---|---|
Parameter: Formula type | Single row formula |
Parameter: Formula | round(cos(rX), 3) |
Parameter: New column name | 'COSrX' |
Tangent:
Transformation Name |
|
|---|---|
Parameter: Formula type | Single row formula |
Parameter: Formula | round(tan(rX), 3) |
Parameter: New column name | 'TANrX' |
Cotangent:
Transformation Name |
|
|---|---|
Parameter: Formula type | Single row formula |
Parameter: Formula | round(1 / tan(rX), 3) |
Parameter: New column name | 'COTrX' |
Secant:
Transformation Name |
|
|---|---|
Parameter: Formula type | Single row formula |
Parameter: Formula | round(1 / cos(rX), 3) |
Parameter: New column name | 'SECrX' |
Cosecant:
Transformation Name |
|
|---|---|
Parameter: Formula type | Single row formula |
Parameter: Formula | round(1 / sin(rX), 3) |
Parameter: New column name | 'CSCrX' |
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 |