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.
In the above, the tangent of angle A is computed as the following:
tan(A) = x/y
The cotangent of angle A is 1/tan(A), or:
cot(A) = 1/tan(A) = y/x
You can convert from degrees to radians. For more information, see RADIANS Function.
Basic Usage
Numeric literal example:
round(tan(radians(30)),3)
Output: Returns the computation of the tangent of a 30-degree angle, which is converted to radians before being passed to the tan function. The output value is rounded to three decimals: 0.577.
Column reference example:
tan(X)
Output: Returns the tangent of the radians values in X column.
Syntax and Arguments
tan(numeric_value)
| Argument | Required? | Data Type | Description |
|---|---|---|---|
| numeric_value | Y | string, decimal, or integer | Name of column, Decimal or Integer literal, or function returning those types to apply to the function |
For more information on syntax standards, see Language Documentation Syntax Notes.
numeric_value
Name of the column, Integer or Decimal literal, or function returning that data type to apply to the function.
- Missing input values generate missing results.
- Literal numeric values should not be quoted. Quoted values are treated as strings.
- Multiple columns and wildcards are not supported.
Usage Notes:
| Required? | Data Type | Example Value |
|---|---|---|
| Yes | String (column reference) or Integer or Decimal literal | 0.5 |
Tip: For additional examples, see Common Tasks.
Examples
Example - Trigonometry functions
- 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 | New formula |
|---|---|
| Parameter: Formula type | Single row formula |
| Parameter: Formula | round(radians(X), 3) |
| Parameter: New column name | 'rX' |
Sine:
| Transformation Name | New formula |
|---|---|
| Parameter: Formula type | Single row formula |
| Parameter: Formula | round(sin(rX), 3) |
| Parameter: New column name | 'SINrX' |
Cosine:
| Transformation Name | New formula |
|---|---|
| Parameter: Formula type | Single row formula |
| Parameter: Formula | round(cos(rX), 3) |
| Parameter: New column name | 'COSrX' |
Tangent:
| Transformation Name | New formula |
|---|---|
| Parameter: Formula type | Single row formula |
| Parameter: Formula | round(tan(rX), 3) |
| Parameter: New column name | 'TANrX' |
Cotangent:
| Transformation Name | New formula |
|---|---|
| Parameter: Formula type | Single row formula |
| Parameter: Formula | round(1 / tan(rX), 3) |
| Parameter: New column name | 'COTrX' |
Secant:
| Transformation Name | New formula |
|---|---|
| Parameter: Formula type | Single row formula |
| Parameter: Formula | round(1 / cos(rX), 3) |
| Parameter: New column name | 'SECrX' |
Cosecant:
| Transformation Name | New formula |
|---|---|
| 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 |
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