ReferenceFunctionsMath Functions
COTH
COTH: Returns the hyperbolic cotangent of a number, defined as `COSH(x) / SINH(x)`.
Summary
COTH is the reciprocal of TANH where defined.
Remarks
- Domain: valid for all real numbers except
0. - Radians: this function is hyperbolic, so the input is not treated as an angle in radians.
- Errors: returns
#DIV/0!whenSINH(x)is zero (atx = 0).
Examples
Hyperbolic cotangent at one
Grid
| Cell | Value | |
|---|---|---|
| No inputs on Sheet1. | ||
Formula
=
Result
Not evaluated yet.
Expected
1.3130352854993312
Division by zero at origin
Grid
| Cell | Value | |
|---|---|---|
| No inputs on Sheet1. | ||
Formula
=
Result
Not evaluated yet.
Expected
#DIV/0!
Related functions
FAQ
Why is COTH undefined at zero?
COTH divides by SINH(x), and SINH(0) is zero, so #DIV/0! is returned.
Runtime metadata
Category
Math
Signature
COTH(arg1: Number)Arity
min 1, max 1
Arguments
arg1Number · Scalar · coercion NumberLenientText
Caps
PUREELEMENTWISENUMERIC_ONLY
Source