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IMCOSH

The IMCOSH function in Google Sheets returns the hyperbolic cosine of the given complex number. It calculates the value using the formula cosh(x+yi), where x and y represent real numbers. This function is especially useful when working with complex mathematical operations. Learn more about its implementation and usage below.

Function Syntax and Parameters

Syntax: IMCOSH(number)

Parameters:

  • number: The complex number for which you want to calculate the hyperbolic cosine.

Step-by-Step Tutorial

To use the IMCOSH function, follow these steps:

  1. Enter the complex number:

    • Example: If the complex number is represented as x+yi, enter the values for x and y in the function.
    • Syntax: =IMCOSH(x+yi)

  2. Calculate the hyperbolic cosine:

    • Example: If the complex number is 1+2i, the function will be =IMCOSH(1+2i).
    • Result: The function will return the hyperbolic cosine of the given complex number.

Use Cases and Scenarios

The IMCOSH function can be useful in various scenarios, including:

  1. Complex Analysis: Perform advanced calculations involving complex numbers.
  2. Physics: Solve mathematical problems related to wave functions and oscillations.
  3. Engineering: Evaluate complex mathematical models and equations.

Related Functions

  • IMCOT: Returns the hyperbolic cotangent of a complex number.
  • IMCSC: Returns the hyperbolic cosecant of a complex number.
  • IMCSCH: Returns the hyperbolic cosecant of a complex number.
  • IMSECH: Returns the hyperbolic secant of a complex number.

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