ATAN DAX Function (Math and Trig)

Returns the arctangent, or inverse tangent, of a number. The arctangent is the angle whose tangent is number. The returned angle is given in radians in the range -pi/2 to pi/2.

Syntax

ATAN ( <Number> )
Parameter Attributes Description
Number

The tangent of the angle you want.

Return values

Scalar A single decimal value.

Remarks

To express the arctangent in degrees, multiply the result by 180/PI( ) or use the DEGREES function.

Examples

--  SIN, COS, ASIN, ACOS, TAN, ATAN, COT, ACOT are the
--  standard trigonometrical functions.
--
--  Where required, the arguments are specified in radians.
DEFINE
    VAR Vals = GENERATESERIES ( -3 * PI () + 0.001, 3 * PI (), PI () / 4 )

EVALUATE
ADDCOLUMNS (
    Vals,
    "Value (nπ)",
        VAR ImproperQuartersOfPi = ROUND ( ABS ( [Value] / PI () * 4 ), 0 )
        VAR WholePis = ROUNDDOWN ( ImproperQuartersOfPi / 4, 0 )
        VAR ProperQuartersOfPi = MOD ( ImproperQuartersOfPi, 4 )
        RETURN
            IF ( ROUND ( [Value], 0 ) < 0, "-" )
                & IF ( WholePis <> 0 && ImproperQuartersOfPi <> 4, WholePis )
                & IF ( ProperQuartersOfPi <> 0, UNICHAR ( 187 + ProperQuartersOfPi ) )
                & IF ( ImproperQuartersOfPi = 0, "0", "π" ),
    "SIN", SIN ( [Value] ),
    "ASIN", ASIN ( SIN ( [Value] ) ),
    "COS", COS ( [Value] ),
    "ACOS", ACOS ( COS ( [Value] ) ),
    "TAN", TAN ( [Value] ),
    "ATAN", ATAN ( TAN ( [Value] ) ),
    "COT", COT ( [Value] ),
    "ACOT", ACOT ( COT ( [Value] ) )
)
Value Value (nπ) SIN ASIN COS ACOS TAN ATAN COT ACOT
-9.42 -3π -0.00 -0.00 -1.00 3.14 0.00 0.00 1,000.00 0.00
-8.64 -2¾π -0.71 -0.79 -0.71 2.36 1.00 0.79 1.00 0.79
-7.85 -2½π -1.00 -1.57 0.00 1.57 -1,000.00 -1.57 -0.00 1.57
-7.07 -2¼π -0.71 -0.78 0.71 0.78 -1.00 -0.78 -1.00 2.36
-6.28 -2π 0.00 0.00 1.00 0.00 0.00 0.00 1,000.00 0.00
-5.50 -1¾π 0.71 0.79 0.71 0.79 1.00 0.79 1.00 0.79
-4.71 -1½π 1.00 1.57 -0.00 1.57 -1,000.00 -1.57 -0.00 1.57
-3.93 -1¼π 0.71 0.78 -0.71 2.36 -1.00 -0.78 -1.00 2.36
-3.14 -0.00 -0.00 -1.00 3.14 0.00 0.00 1,000.00 0.00
-2.36 -¾π -0.71 -0.79 -0.71 2.36 1.00 0.79 1.00 0.79
-1.57 -½π -1.00 -1.57 0.00 1.57 -1,000.00 -1.57 -0.00 1.57
-0.78 -¼π -0.71 -0.78 0.71 0.78 -1.00 -0.78 -1.00 2.36
0.00 0 0.00 0.00 1.00 0.00 0.00 0.00 1,000.00 0.00
0.79 ¼π 0.71 0.79 0.71 0.79 1.00 0.79 1.00 0.79
1.57 ½π 1.00 1.57 -0.00 1.57 -1,000.00 -1.57 -0.00 1.57
2.36 ¾π 0.71 0.78 -0.71 2.36 -1.00 -0.78 -1.00 2.36
3.14 π -0.00 -0.00 -1.00 3.14 0.00 0.00 1,000.00 0.00
3.93 1¼π -0.71 -0.79 -0.71 2.36 1.00 0.79 1.00 0.79
4.71 1½π -1.00 -1.57 0.00 1.57 -1,000.00 -1.57 -0.00 1.57
5.50 1¾π -0.71 -0.78 0.71 0.78 -1.00 -0.78 -1.00 2.36
6.28 0.00 0.00 1.00 0.00 0.00 0.00 1,000.00 0.00
7.07 2¼π 0.71 0.79 0.71 0.79 1.00 0.79 1.00 0.79
7.85 2½π 1.00 1.57 -0.00 1.57 -1,000.00 -1.57 -0.00 1.57
8.64 2¾π 0.71 0.78 -0.71 2.36 -1.00 -0.78 -1.00 2.36

Last update: Mar 13, 2024   » Contribute   » Show contributors

Contributors: Alberto Ferrari, Marco Russo, Kenneth Barber

Microsoft documentation: https://docs.microsoft.com/en-us/dax/atan-function-dax

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Context Transition

This function performs a Context Transition if called in a Row Context. Click to read more.

Row Context

This expression is executed in a Row Context. Click to read more.

Iterator

Not recommended

The use of this function is not recommended. See Remarks and Related functions for alternatives.

Not recommended

The use of this parameter is not recommended.

Deprecated

This function is deprecated. Jump to the Alternatives section to see the function to use.

Volatile

A volatile function may return a different result every time you call it, even if you provide the same arguments. Click to read more.

Deprecated

This parameter is deprecated and its use is not recommended.

DirectQuery compatibility

Limitations are placed on DAX expressions allowed in measures and calculated columns.
The state below shows the DirectQuery compatibility of the DAX function.

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