How to Use the IMSINH Function in Excel

Welcome to our comprehensive guide on utilizing the IMSINH function in Microsoft Excel and Google Sheets. This function is designed to compute the hyperbolic sine of a complex number. In this guide, we’ll cover the syntax of the IMSINH function, illustrate its applicability with relevant examples, and explain how to execute these operations in both Excel and Google Sheets.

Syntax

The syntax for the IMSINH function is identical in both Excel and Google Sheets:

=IMSINH(inumber)

inumber: This argument specifies the complex number for which the hyperbolic sine is to be calculated.

Examples

Example 1: Calculating the IMSINH of a Complex Number

Consider a complex number stored in cell A1 (3+2i). To compute its hyperbolic sine, enter the following formula:

=IMSINH(A1)

Example 2: Integrating IMSINH in a Compound Formula

In our second example, we will incorporate the IMSINH function into a more elaborate formula. Here, we compute the hyperbolic sine of the complex number in cell A1 and then add 5 to the outcome, as shown below:

=IMSINH(A1) + 5

Implementation

Implementing the IMSINH function is straightforward in both Excel and Google Sheets:

Excel

In Excel, simply type the IMSINH formula into a cell that references the cell containing your complex number, and press Enter to display the result.

Google Sheets

The procedure in Google Sheets mirrors that of Excel. Input the formula into a target cell, hit Enter, and the hyperbolic sine of the complex number will be calculated instantly.

We hope this guide has equipped you with a clear understanding of how to use the IMSINH function effectively in Excel and Google Sheets. Thank you for following along!

More information: https://support.microsoft.com/en-us/office/imsinh-function-dfb9ec9e-8783-4985-8c42-b028e9e8da3d

Other functions

BESSELI

Returns the modified Bessel function In(x)

BESSELJ

Returns the Bessel function Jn(x)

BESSELK

Returns the modified Bessel function Kn(x)

BESSELY

Returns the Bessel function Yn(x)

BIN2DEC

Converts a binary number to decimal

BIN2HEX

Converts a binary number to hexadecimal

BIN2OCT

Converts a binary number to octal

BITAND

Returns a 'Bitwise And' of two numbers

BITLSHIFT

Returns a value number shifted left by shift_amount bits

BITOR

Returns a bitwise OR of 2 numbers

BITRSHIFT

Returns a value number shifted right by shift_amount bits

BITXOR

Returns a bitwise 'Exclusive Or' of two numbers

COMPLEX

Converts real and imaginary coefficients into a complex number

CONVERT

Converts a number from one measurement system to another

DEC2BIN

Converts a decimal number to binary

DEC2HEX

Converts a decimal number to hexadecimal

DEC2OCT

Converts a decimal number to octal

DELTA

Tests whether two values are equal

ERF

Returns the error function

ERF.PRECISE

Returns the error function

ERFC

Returns the complementary error function

ERFC.PRECISE

Returns the complementary ERF function integrated between x and infinity

GESTEP

Tests whether a number is greater than a threshold value

HEX2BIN

Converts a hexadecimal number to binary

HEX2DEC

Converts a hexadecimal number to decimal

HEX2OCT

Converts a hexadecimal number to octal

IMABS

Returns the absolute value (modulus) of a complex number

IMAGINARY

Returns the imaginary coefficient of a complex number

IMARGUMENT

Returns the argument theta, an angle expressed in radians

IMCONJUGATE

Returns the complex conjugate of a complex number

IMCOS

Returns the cosine of a complex number

IMCOSH

Returns the hyperbolic cosine of a complex number

IMCOT

Returns the cotangent of a complex number

IMCSC

Returns the cosecant of a complex number

IMCSCH

Returns the hyperbolic cosecant of a complex number

IMDIV

Returns the quotient of two complex numbers

IMEXP

Returns the exponential of a complex number

IMLN

Returns the natural logarithm of a complex number

IMLOG10

Returns the base-10 logarithm of a complex number

IMLOG2

Returns the base-2 logarithm of a complex number

IMPOWER

Returns a complex number raised to an integer power

IMPRODUCT

Returns the product of complex numbers

IMREAL

Returns the real coefficient of a complex number

IMSEC

Returns the secant of a complex number

IMSECH

Returns the hyperbolic secant of a complex number

IMSIN

Returns the sine of a complex number

IMSQRT

Returns the square root of a complex number

IMSUB

Returns the difference between two complex numbers

IMSUM

Returns the sum of complex numbers

IMTAN

Returns the tangent of a complex number

OCT2BIN

Converts an octal number to binary

OCT2DEC

Converts an octal number to decimal

OCT2HEX

Converts an octal number to hexadecimal