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Csch

CSCH Function

The CSCH function in Excel is used to calculate the hyperbolic cosecant of a given number. The hyperbolic cosecant of a number is defined as the reciprocal of the hyperbolic sine of the number.

Mathematically, it can be expressed as:

CSCH(x) = 1 / SINH(x)

where SINH(x) is the hyperbolic sine of the number x.

This function is useful in various mathematical, scientific, and engineering computations involving hyperbolic functions.

Syntax:

CSCH(number)
  • number: This is a required argument. It specifies the number for which the hyperbolic cosecant should be calculated.

Key Points:

  • The CSCH function operates on real numbers.
  • If the value of number is 0, the CSCH function will return a #DIV/0! error, as division by zero is undefined.
  • The function evaluates input directly without the need for unit conversion like radians or degrees.

Examples:

  1. =CSCH(1)
    Calculates the hyperbolic cosecant of 1.
    Result: 0.8509181283

  2. =CSCH(0.5)
    Calculates the hyperbolic cosecant of 0.5.
    Result: 1.919034751

  3. =CSCH(0)
    As the hyperbolic sine of 0 is 0, the CSCH function will throw a divide-by-zero error.
    Result: #DIV/0!

Notes:

  • Ensure the input number is a real number. Avoid using 0 as an input, as this will lead to undefined behavior.
  • The CSCH function is especially useful in computations involving hyperbolic trigonometric functions.

Tip: Use the CSCH function when dealing with reciprocal hyperbolic functions in your calculations. Be cautious of input values that result in undefined behavior.