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COTH

The COTH function returns the hyperbolic cotangent of any real number. The hyperbolic cotangent is defined as the ratio of the hyperbolic cosine to the hyperbolic sine of a given angle or value. This function can be used in various mathematical calculations such as in calculus and in solving problems related to physics and engineering.

Usage

Use the COTH formula with the syntax shown below, it has 1 required parameter:

=COTH(value)
Parameters:
  1. value (required):
    The real number for which to calculate the hyperbolic cotangent. This can be entered as a number or a reference to the cell containing the number.

Examples

Here are a few example use cases that explain how to use the COTH formula in Google Sheets.

Calculate the hyperbolic cotangent of a number

Use COTH to calculate the hyperbolic cotangent of a given number. This can be useful in many different mathematical calculations.

Calculate the inverse hyperbolic cotangent of a number

Use ACOTH(1/x) to calculate the inverse hyperbolic cotangent of a given number. This can be useful in many different mathematical calculations.

Calculate the area of a hyperbolic sector

Use COTH(x) * y to calculate the area of a hyperbolic sector. This can be useful in geometry and trigonometry problems.

Common Mistakes

COTH not working? Here are some common mistakes people make when using the COTH Google Sheets Formula:

Incorrect argument type

The value provided to COTH() must be a numeric value. If a non-numeric value is used, this error will occur. To fix this, ensure that the argument provided is a number.

Divide by zero error

If the argument provided to COTH() is zero, this error will occur. To fix this, provide a non-zero argument.

Related Formulas

The following functions are similar to COTH or are often used with it in a formula:

  • SINH

    The SINH function returns the hyperbolic sine of any real number. The hyperbolic sine is a mathematical function that describes the shape of a hanging cable supported at its ends and acted upon by a uniform gravitational force. In Google Sheets, it is most commonly used in mathematical and statistical formulas.

  • COS

    The COS function in Google Sheets returns the cosine of an angle provided in radians. It is commonly used in trigonometry to calculate the cosine of an angle. The function takes one parameter, the angle in radians.

  • TAN

    The TAN function returns the tangent of an angle specified in radians. Tangent is the ratio of the length of the opposite side to the length of the adjacent side of a right-angled triangle. This function is commonly used in trigonometry and geometry calculations.

  • ACOTH

    The ACOTH function returns the hyperbolic arccotangent of a number. It is the inverse function of the hyperbolic cotangent. This function is useful in trigonometry and calculus.

Learn More

You can learn more about the COTH Google Sheets function on Google Support.