
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.