# Excel IMAGINARY Function

## What is IMAGINARY function in Excel?

The IMAGINARY function is one of the Engineering functions of Excel.

It Returns the imaginary coefficient of a complex number.

We can find this function in Engineering of insert function Tab.

## How to use IMAGINARY function in excel

1. Click on an empty cell (like F5).

2. Click on the fx icon (or press shift+F3).

3. In the insert function tab you will see all functions.

4. Select ENGINEERING category.

5. Select IMAGINARY function

6. Then select ok.

7. In the function arguments Tab you will see IMAGINARY function.

8. Innumber is a complex number for which you want the imaginary coefficient.

9. You will see the results in formula result section.

## Examples of IMAGINARY function in Excel

1. =IMAGINARY(3+4i)

This formula returns the value 4, which is the imaginary component of the complex number 3+4i.

1. =IMAGINARY(-2-6i)

This formula returns the value -6, which is the imaginary component of the complex number -2-6i.

1. =IMAGINARY(A1)

If cell A1 contains a complex number, this formula returns the imaginary component of that number.

1. =SUM(IMAGINARY(A1:A5))

This formula finds the sum of the imaginary components of a range of complex numbers stored in cells A1 through A5.

1. =AVERAGE(IMAGINARY(A1:A5))

This formula finds the average of the imaginary components of a range of complex numbers stored in cells A1 through A5.

1. =IMAGINARY(COMPLEX(4,3))

This formula creates a complex number with a real component of 4 and an imaginary component of 3, then extracts the imaginary component using the IMAGINARY function. It returns the value 3.

1. =IMAGINARY(POWER(I,3))

This formula raises the imaginary unit i to the third power, resulting in -i. It then uses the IMAGINARY function to extract the imaginary component, returning the value -1.

1. =IMAGINARY(SQRT(-1))

This formula takes the square root of -1, resulting in i, and then uses the IMAGINARY function to extract the imaginary component, returning the value 1.

1. =IMAGINARY(LOG(2+3i))

This formula takes the natural logarithm of the complex number 2+3i, which is approximately 1.282 + 0.982i. It then uses the IMAGINARY function to extract the imaginary component, returning the value 0.982.

1. =IMAGINARY(3*IMAGINARY(A1))

This formula multiplies the imaginary component of a complex number stored in cell A1 by 3, and then uses the IMAGINARY function to extract the resulting imaginary component.

# “Excel’s IMAGINARY Function: The Tool You Need to Extract Imaginary Components of Complex Numbers”

The IMAGINARY function in Excel is a powerful tool for extracting the imaginary component of a complex number. This function takes a single argument, which is the complex number you want to extract the imaginary part from, and returns the imaginary component as a numeric value.

For example, if you have the complex number 3+4i, you can use the following formula to extract the imaginary component:

=IMAGINARY(3+4i)

This will return the value 4, which is the imaginary component of the complex number 3+4i.

# “Finding the Imaginary Component of a Complex Number in Excel: How to Use the IMAGINARY Function”

To find the imaginary component of a complex number in Excel using the IMAGINARY function, simply enter the function followed by the complex number you wish to extract the imaginary component of.

For example, if you have the complex number -2-6i, you can use the following formula to extract its imaginary component:

=IMAGINARY(-2-6i)

This will return the value -6, which is the imaginary component of the complex number -2-6i.

# “Case-Sensitivity of Excel’s IMAGINARY Function: Everything You Need to Know”

The IMAGINARY function in Excel is not case-sensitive, meaning that it does not matter whether you use uppercase or lowercase letters when entering the function name.

For example, both =IMAGINARY(A1) and =imaginary(A1) would work the same way in Excel.

# “Calculating Hypotenuse Length with Excel’s IMAGINARY Function: An Easy Guide”

To calculate the length of the hypotenuse of a right triangle in Excel using the IMAGINARY function, subtract one complex number from another to get their difference, and then use the IMABS function to find the absolute value of the difference.

For example, if you have a right triangle with legs represented by the complex numbers 3+4i and 4-3i, you can use the following formula to find the length of the hypotenuse:

=IMABS((3+4i)-(4-3i))

This will return the value approximately 7.81, which is the length of the hypotenuse.

# “Tips and Tricks for Rounding Results of Excel’s IMAGINARY Function”

To round the result of the IMAGINARY function in Excel, use the ROUND function. The ROUND function takes two arguments: the number you want to round, and the number of decimal places you want to round it to.

For example, if you have the complex number -2-3i and you want to round its imaginary component to one decimal place, you can use the following formula:

=ROUND(IMAGINARY(-2-3i),1)

This will return the value -3.0, which is the imaginary component of the complex number -2-3i rounded to one decimal place.

# “IMAGINARY Function in Excel: A Comprehensive Guide on Usage”

The IMAGINARY function in Excel is used to extract the imaginary component of a complex number. To use the function, simply enter “=IMAGINARY(number)” into a cell or formula, where “number” is the complex number for which you want to extract the imaginary component.

For example, if you have the complex number 2+5i, you can use the following formula to extract its imaginary component:

=IMAGINARY(2+5i)

This will return the value 5, which is the imaginary component of the complex number 2+5i.

# “Microsoft Excel’s IMAGINARY Function: What It Is and How to Use It Effectively”

The IMAGINARY function in Microsoft Excel is a useful tool for extracting the imaginary component of a complex number. By using this function, you can easily perform calculations involving complex numbers.

To use the IMAGINARY function in Excel, simply enter “=IMAGINARY(number)” into a cell or formula, where “number” is the complex number for which you want to extract the imaginary component.

For example, if you have the complex number 3-2i, you can use the following formula to extract its imaginary component:

=IMAGINARY(3-2i)

This will return the value -2, which is the imaginary component of the complex number 3-2i.

# “How to Calculate the Modulus of a Complex Number in Excel Using the IMAGINARY Function”

To calculate the modulus of a complex number in Excel using the IMAGINARY function, you can combine the IMAGINARY and IMABS functions.

The IMABS function returns the absolute value (or magnitude) of a complex number, and can be used in conjunction with the IMAGINARY function to calculate the modulus of the complex number.

For example, if you have the complex number 4+3i, you can use the following formula to calculate its modulus:

=IMABS(4+3i)

This will return the value approximately 5, which is the modulus of the complex number 4+3i.

# “Excel’s IMAGINARY Function and Other Tools to Make Complex Calculations Easy”

Excel provides several tools to make complex calculations involving imaginary numbers easier. In addition to the IMAGINARY function, you can use other functions like COMPLEX, IMREAL, IMCONJUGATE, and IMSUM to manipulate complex numbers in Excel.

For example, if you have the complex numbers 2+3i and 4-5i, you can use the following formula to find their product:

=IMSUN(2+3i,4-5i)

This will return the value -22-7i, which is the product of the two complex numbers.

The IMAGINARY function in Excel is a powerful tool for extracting the imaginary component of a complex number. Here are some frequently asked questions about the IMAGINARY function in Excel, along with their answers:

1. What is the IMAGINARY function in Excel? The IMAGINARY function in Excel is used to extract the imaginary component of a complex number.
2. How do I use the IMAGINARY function in Excel? To use the IMAGINARY function in Excel, simply enter “=IMAGINARY(number)” into a cell or formula, where “number” is the complex number for which you want to extract the imaginary component.
3. Can the IMAGINARY function be used on non-complex numbers in Excel? No, the IMAGINARY function can only be used on complex numbers in Excel.
4. What does the IMAGINARY function return in Excel? The IMAGINARY function in Excel returns the imaginary component of a complex number.
5. What versions of Excel support the IMAGINARY function? The IMAGINARY function is available in all versions of Excel, including Excel for Office 365, Excel 2019, Excel 2016, Excel 2013, Excel 2010, and Excel 2007.

## IMAGINARY related functions

• Use COMPLEX function to convert real and imaginary coefficients into complex numbers
• Use IMABS function to return the absolute value of a complex number.
• Use IMREAL function to return the real coefficient of a complex number.
• Use IMDIV function to return the quotient of two complex numbers.