How to use IMSINH function in Excel?

The IMSINH function in Excel is used to calculate the hyperbolic sine of a complex number. The function converts a complex number given in the form “x + yi” or “x + yj” to its hyperbolic sine equivalent. Here’s how you can use the IMSINH function:

Syntax:

IMSINH(inumber)
  • inumber: This is the complex number for which you want to calculate the hyperbolic sine. This can be entered directly or by using a cell reference.

Steps to Use IMSINH:

  • Input Complex Number:
    • Ensure the complex number is properly formatted. It should be in the form like `a+bi` or `a+bj`, where `a` is the real part and `b` is the imaginary part.
  • Enter the Function:
    • Click on the cell where you want the result.
    • Enter the formula using the syntax `=IMSINH(inumber)`.
    • For example, if you want to find the hyperbolic sine of the complex number “1+2i”, you would enter `=IMSINH(“1+2i”)`.
  • Use of Cell References:
    • If the complex number is stored in a cell, say A1, you can use the function as `=IMSINH(A1)`.
  • Automatic Calculation:
    • Excel will automatically compute the hyperbolic sine of the complex number and display it in the selected cell.
  • Handling Complex Numbers with Excel Functions:
    • To create complex numbers within Excel, you can use the `COMPLEX` function. For example, `=COMPLEX(1,2)` generates the complex number `1+2i`.

Example:

  • Assume you have a complex number “3+4i” in cell B2.
  • In cell C2, enter the formula `=IMSINH(B2)`.
  • Excel will calculate and display the hyperbolic sine of the complex number in C2.

Important Notes:

  • The IMSINH function is part of the complex number functions in Excel and may not be available in all spreadsheets if complex number functions are not supported.
  • Ensure that the complex number is entered in a compatible format that Excel recognizes (using `i` or `j`).

By following these steps, you can effectively use the IMSINH function to work with complex numbers in Excel.

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