COSH

All functions > MATH > COSH

Returns the hyperbolic cosine of a number.

Signatures

Returns: Hyperbolic cosine result (always >= 1)

COSH(number: T) → DOUBLE

Notes

• Definition: COSH(x) = (e^x + e^(-x)) / 2
• Always returns values >= 1
• COSH(0) = 1
• Even function: COSH(-x) = COSH(x)
• Grows exponentially for large |x|
• Related to regular cosine but for hyperbolic geometry
• Returns NULL if input is NULL

Examples

SELECT
    f1 := COSH(0e0),  -- Hyperbolic cosine of 0 is 1
    f2 := COSH(1e0),  -- Hyperbolic cosine of 1
    f3 := COSH(-1e0),  -- Even function: COSH(-1) = COSH(1)
    f4 := COSH(2e0)  -- Hyperbolic cosine of 2
;