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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.

TrigFunctions.png

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.

Wrangle vs. SQL: This function is part of Wrangle, a proprietary data transformation language. Wrangle is not SQL. For more information, see Wrangle Language.

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

Examples

Dica

For additional examples, see Common Tasks.

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

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