How to Use the IMCONJUGATE Function in Excel

Today, we’ll explore the IMCONJUGATE function, a highly useful tool in both Excel and Google Sheets.

Overview

The IMCONJUGATE function returns the complex conjugate of a specified complex number. Essentially, this function reverses the sign of the imaginary component of the complex number.

Syntax

The syntax for the IMCONJUGATE function is consistent across both Excel and Google Sheets:

=IMCONJUGATE(inumber)
  • inumber: This required argument represents the complex number whose conjugate you need to find.

Examples

To better understand the IMCONJUGATE function, let’s review a couple of examples:

Example 1: Imaginary Number

Consider a complex number in cell A1: 3+4i. To determine its conjugate, you would use the formula:

=IMCONJUGATE(A1)

This formula returns 3-4i, the complex conjugate of the original number.

Example 2: Using Direct Input

You can also input the complex number directly into the formula. For instance:

=IMCONJUGATE(2-6i)

This will produce 2+6i, which is the conjugate of 2-6i.

Use Case

The IMCONJUGATE function is extremely valuable in various applications, such as electrical engineering calculations and signal processing, or any discipline that utilizes complex numbers.

Finding the conjugate of a complex number simplifies many mathematical operations, enhancing efficiency and clarity in calculations.

With a better understanding of the IMCONJUGATE function in Excel and Google Sheets, you’re now equipped to harness its capabilities in your projects and worksheets.

More information: https://support.microsoft.com/en-us/office/imconjugate-function-2e2fc1ea-f32b-4f9b-9de6-233853bafd42

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Returns the modified Bessel function In(x)
Returns the Bessel function Jn(x)
Returns the modified Bessel function Kn(x)
Returns the Bessel function Yn(x)
Converts a binary number to decimal
Converts a binary number to hexadecimal
Converts a binary number to octal
Returns a 'Bitwise And' of two numbers
Returns a value number shifted left by shift_amount bits
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Returns a value number shifted right by shift_amount bits
Returns a bitwise 'Exclusive Or' of two numbers
Converts real and imaginary coefficients into a complex number
Converts a number from one measurement system to another
Converts a decimal number to binary
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Tests whether two values are equal
Returns the error function
Returns the error function
Returns the complementary error function
Returns the complementary ERF function integrated between x and infinity
Tests whether a number is greater than a threshold value
Converts a hexadecimal number to binary
Converts a hexadecimal number to decimal
Converts a hexadecimal number to octal
Returns the absolute value (modulus) of a complex number
Returns the imaginary coefficient of a complex number
Returns the argument theta, an angle expressed in radians
Returns the cosine of a complex number
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Returns the cosecant of a complex number
Returns the hyperbolic cosecant of a complex number
Returns the quotient of two complex numbers
Returns the exponential of a complex number
Returns the natural logarithm of a complex number
Returns the base-10 logarithm of a complex number
Returns the base-2 logarithm of a complex number
Returns a complex number raised to an integer power
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Returns the hyperbolic secant of a complex number
Returns the sine of a complex number
Returns the hyperbolic sine of a complex number
Returns the square root of a complex number
Returns the difference between two complex numbers
Returns the sum of complex numbers
Returns the tangent of a complex number
Converts an octal number to binary
Converts an octal number to decimal
Converts an octal number to hexadecimal