ACOS DAX Function (Math and Trig)
Returns the arccosine, or inverse cosine, of a number. The arccosine is the angle whose cosine is number. The returned angle is given in radians in the range 0 (zero) to pi.
Syntax
ACOS ( <Number> )
| Parameter | Attributes | Description |
|---|---|---|
| Number |
The cosine of the angle you want and must be from -1 to 1. |
Return values
Scalar A single decimal value.
Remarks
If you want to convert the result from radians to degrees, multiply it 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 | -π | -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 | 2π | 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: Nov 14, 2024 » Contribute » Show contributors
Contributors: Alberto Ferrari, Marco Russo, Kenneth Barber,
Microsoft documentation: https://docs.microsoft.com/en-us/dax/acos-function-dax
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