Related Functions:

The COTH function returns the hyperbolic cotangent of a hyperbolic angle.

  • This function was introduced in Excel 2013 and so is not available in earlier versions.

Syntax

=COTH(number)

Arguments

Argument Description
number The angle, in radians, that you want to calculate the hyperbolic cotangent of

  The absolute value of number must be less than 2^27

Examples

  A B C
1 Formula Result Notes
2 =COTH(2) 1.037 Returns the hyperbolic cotangent of 2
3 =COTH(RADIANS(120)) 1.030796253 Returns the hyperbolic cotangent of 120 degrees
4 =COTH(PI()/2) 1.090331411 The PI function is used to provide the value π/2 to the COTH function

Note: If the angle is in degrees, you need to be convert it to radians before supplying it to the COTH function. You can convert it, using the RADIANS function: =RADIANS(degrees)

Common Function Error(s)

Problem What went wrong
#VALUE! Occurs if the supplied number argument is not a numeric value
#NUM! Occurs if the supplied number argument is less than -2^27 or is greater than 2^27
#DIV/0! Occurs if the supplied number argument is equal to 0

The hyperbolic cotangent is the reciprocal of the hyperbolic tangent and is calculated as:  

    \[   coth(x) = \frac 1{tanh(x)} = \frac {cosh(x)}{sinh(x)} = \frac {(e^x + e^{-x})} {(e^x - e^{-x})}    \]

See Wikipedia for more information on hyperbolic functions.