The COTH function in Excel is used to calculate the hyperbolic cotangent of a given number. The hyperbolic cotangent is the reciprocal of the hyperbolic tangent (tanh) of the number. The function is available in Excel 2013 and later versions.
Syntax
COTH(number)
- number: The real number for which you want to find the hyperbolic cotangent. The number must be a non-zero value because the hyperbolic cotangent of zero is undefined.
Steps to Use COTH Function
- Open Excel: Launch Microsoft Excel on your computer.
- Enter your Data: In a cell, input the value for which you want to calculate the hyperbolic cotangent.
- Using the COTH Function:
- Click on a cell where you want the result to appear.
- Type `=COTH(` followed by the cell reference or the number directly, and then close the parenthesis and press `Enter`.
- For example, if the number is in cell A1, you would type `=COTH(A1)`.
- Get the Result: Once you press `Enter`, the cell will show the hyperbolic cotangent of the number you specified.
Example
Suppose you have the value 1.5 in cell A1 and want to calculate its hyperbolic cotangent. You would do the following:
- Click on a blank cell, let’s say B1.
- Enter the formula: `=COTH(A1)`
- Press `Enter`.
Now, cell B1 will display the hyperbolic cotangent of the value in A1.
Notes
- COTH returns an error if the input number is zero, since the hyperbolic cotangent of zero does not exist.
- It returns a real number when a real number is used as input.
- Cells must be formatted correctly if displaying results with many decimal places is needed.
Using the COTH function is straightforward and useful in mathematical, engineering, or physics-based calculations within Excel that require hyperbolic functions.
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