COSH DAX Function (Math and Trig)
Returns the hyperbolic cosine of a number.
Syntax
| Parameter | Attributes | Description |
|---|---|---|
| Number |
Any real number for which you want to find the hyperbolic cosine. |
Return values
The hyperbolic cosine of a number.
Remarks
COSH ( Number ) returns the same value as ( EXP ( Number ) + EXP ( -Number ) ) / 2. For example, COSH ( 4 ) returns about 27.308.
The result is always 1 or more. COSH ( 0 ) returns 1. A BLANK argument is treated as 0, so it also returns 1.
COSH returns an error when the absolute value of Number is more than about 709.78, because the result is too large. COSH also returns an error when Number is text that cannot be converted to a number.
Examples
-- SINH, COSH, ASINH, ACOSH, TANH, ATANH, COTH, ACOTH
-- are the standard hyperbolic trigonometrical functions.
--
-- Where required, the arguments are specified in radians.
DEFINE
VAR Vals = GENERATESERIES ( -PI()+0.001, 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" ),
"SINH", SINH ( [Value] ),
"ASINH", ASINH ( SINH ( [Value] ) ),
"COSH", COSH ( [Value] ),
"ACOSH", ACOSH ( COSH ( [Value] ) ),
"TANH", TANH ( [Value] ),
"ATANH", ATANH ( TANH ( [Value] ) ),
"COTH", COTH ( [Value] ),
"ACOTH", ACOTH ( COTH ( [Value] ) )
)
| Value | Value (nπ) | SINH | ASINH | COSH | ACOSH | TANH | ATANH | COTH | ACOTH |
|---|---|---|---|---|---|---|---|---|---|
| -3.14 | -π | -11.54 | -3.14 | 11.58 | 3.14 | -1.00 | -3.14 | -1.00 | -3.14 |
| -2.36 | -¾π | -5.22 | -2.36 | 5.32 | 2.36 | -0.98 | -2.36 | -1.02 | -2.36 |
| -1.57 | -½π | -2.30 | -1.57 | 2.51 | 1.57 | -0.92 | -1.57 | -1.09 | -1.57 |
| -0.78 | -¼π | -0.87 | -0.78 | 1.32 | 0.78 | -0.66 | -0.78 | -1.53 | -0.78 |
| 0.00 | 0 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 1,000.00 | 0.00 |
| 0.79 | ¼π | 0.87 | 0.79 | 1.33 | 0.79 | 0.66 | 0.79 | 1.52 | 0.79 |
| 1.57 | ½π | 2.30 | 1.57 | 2.51 | 1.57 | 0.92 | 1.57 | 1.09 | 1.57 |
| 2.36 | ¾π | 5.23 | 2.36 | 5.33 | 2.36 | 0.98 | 2.36 | 1.02 | 2.36 |
Related functions
Other related functions are:
Last update: Nov 9, 2026 » Contribute » Show contributors
Contributors: Alberto Ferrari, Marco Russo, Kenneth Barber
Microsoft documentation: https://learn.microsoft.com/en-us/dax/cosh-function-dax