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COSH

Hyperbolic cosine of the number: (e^x + e^-x) / 2.

Group: Math. Compatible with DAX.

Syntax

COSH ( <number> )

Parameter	Type	Description
`number`	Number	Any number.

Returns

Number. A number of 1 or more; exactly 1 for 0.

Remarks

It is half of e to the number plus e to minus the number, and even: COSH ( -1 ) is COSH ( 1 ).
A blank counts as 0, so the result is 1.
From about 710 either way the result no longer fits in a number, and the call is an error.
COSH ( x ) ^ 2 - SINH ( x ) ^ 2 is 1, up to the last digit.

Examples

Hyperbolic cosines

EVALUATE
ROW (
    "Of 0", COSH ( 0 ),
    "Of 1", COSH ( 1 ),
    "Of -1", COSH ( -1 ),
    "Of blank", COSH ( BLANK () )
)

Of 0	Of 1	Of -1	Of blank
1	1.54308063481524	1.54308063481524	1

SINH, TANH, ACOSH, EXP.

Last updated 3 November 2026 · OpenBI Studio 0.3.74