# COTH

Formulas / COTH
To calculate the hyperbolic cotangent of a given number, which is the reciprocal of the hyperbolic tangent of that number.
`COTH(number)`
• number - The number for which you want to calculate the hyperbolic cotangent.

## Examples

• `=COTH(1)`

This formula calculates the hyperbolic cotangent of 1 and returns approximately 1.313035285.

• `=COTH(0.5)`

This formula calculates the hyperbolic cotangent of 0.5 and returns approximately 2.163953414.

## Summary

The COTH function calculates the hyperbolic cotangent of a given number.

• The COTH function calculates the hyperbolic cotangent of a given number.
• The function requires a single numeric argument, which represents the angle in radians for which the hyperbolic cotangent is to be calculated.
• If the argument is zero, COTH returns a #DIV/0! error because the hyperbolic cotangent of zero is undefined.

What does the COTH function do?
The COTH function calculates the hyperbolic cotangent of a given number. It is the reciprocal of the hyperbolic tangent (TANH) of the same number.
What is the range of values for which COTH is defined?
COTH is defined for all real numbers except zero. The function is undefined for an argument of zero.
What error does COTH return if the argument is zero?
COTH returns a #DIV/0! error if the argument is zero because the hyperbolic cotangent of zero is undefined.
Can COTH be used with other trigonometric or hyperbolic functions?
Yes, COTH can be used in combination with other trigonometric and hyperbolic functions to perform more complex mathematical calculations.
Is there an inverse function for COTH?
Yes, the inverse function for COTH is the hyperbolic arccotangent, denoted as ACOTH. ACOTH is the inverse hyperbolic cotangent function.