EXAMPLE - Trigonometry Functions
This example illustrates how to apply basic trigonometric functions to your transformations.
Functions:
Item | Description |
|---|---|
SIN Function | Computes the sine of an input value for an angle measured in radians. The value can be a Decimal or Integer literal or a reference to a column containing numeric values. |
COS Function | Computes the cosine of an input value for an angle measured in radians. The value can be a Decimal or Integer literal or a reference to a column containing numeric values. |
TAN Function | Computes the tangent of an input value for an 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 are computed using the above functions:
Cotangent. Computed as 1/TAN.
Secant. Computed as 1/COS.
Cosecant. Computed as 1/SIN.
Also:
Item | Description |
|---|---|
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. |
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 |