The COTH function returns the hyperbolic cotangent of a number.
Hyperbolic cotangent is often used in mathematics, physics, and engineering.
Syntax
COTH(value)
Argument |
Description |
Permitted values |
|---|---|---|
value |
Angle in radians for which the hyperbolic cotangent needs to be calculated |
Any real number other than 0. Can be specified as a number, formula, function, or cell reference |
Examples of use
Calculation of hyperbolic cotangent for 1
=COTH(1)
Result: approximately 1.3130.
Calculation of hyperbolic cotangent for −1
=COTH(−1)
Result: approximately −1.3130.
Attempt to calculate the hyperbolic cotangent for 0
=COTH(0)
The expression will return the #DIV/0! error, since the hyperbolic cotangent is undefined for zero.
Notes
It is important to remember that the COTH function is undefined for x=0, since the hyperbolic cotangent tends to infinity at this point.