# IMSINH

The IMSINH function returns the hyperbolic sine of a complex number in the form x + yi in Excel. It is useful for calculating trigonometric hyperbolic functions in complex number calculations.

## Syntax

=IMSINH(`complex_number`

)

`complex_number` | The complex number in the form x + yi for which you want to find the hyperbolic sine. |

## About IMSINH

When dealing with complex numbers and in need of computing the hyperbolic sine, IMSINH comes to your aid in Excel. It enables you to determine the hyperbolic sine of a complex number expressed in the form of x + yi, where x and y represent the real and imaginary parts, respectively. This function proves beneficial for intricate calculations involving trigonometric hyperbolic functions within the realm of complex numbers.

## Examples

Suppose you have a complex number 3 + 4i, and you wish to calculate the hyperbolic sine of this number using IMSINH. The formula would be: =IMSINH(3+4i)

Consider a scenario where the complex number is -2 - 5i. To find the hyperbolic sine of this number, you can use IMSINH as follows: =IMSINH(-2-5i)

## Questions

**What format should the complex number be in when using the IMSINH function?**

The complex number should be in the form x + yi, where x and y are the real and imaginary parts of the number, respectively. Make sure to input the complex number correctly for accurate results.

**What does the IMSINH function calculate for complex numbers?**

The IMSINH function calculates the hyperbolic sine of a complex number provided in the form x + yi. It is specifically designed for trigonometric hyperbolic calculations on complex numbers.

## Related functions

IMCOSH

IMTAN

IMCOT

IMCSC

IMSEC

IMSECH

IMCSCH