IMAGINARY Google Sheet Formula

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IMAGINARY Formula Syntax

=IMAGINARY("3+4i")

Example Use Case

Extracting the imaginary coefficient of a complex number

Understanding the IMAGINARY Formula

The IMAGINARY function in Excel extracts the imaginary coefficient from a complex number. It's a complex number tool for component analysis—like isolating the imaginary part of a complex expression for further calculations or visualization.

IMAGINARY("3+4i") returns 4, the coefficient of the imaginary part of the complex number 3+4i. It takes a complex number as text input and returns just the imaginary component—useful for engineering, physics, or mathematics applications involving complex numbers.

Why Use IMAGINARY?

IMAGINARY isolates imaginary components—think electrical circuit analysis or quantum calculations. Its ability to extract the imaginary coefficient makes it valuable for analyzing phase information, decomposing complex values, or plotting points in the complex plane.

Example with Sample Data

Complex Number	Formula	Result
"3+4i"	=IMAGINARY("3+4i")	4
"5-12i"	=IMAGINARY("5-12i")	-12
"7"	=IMAGINARY("7")	0

IMAGINARY extracts components: returning 4 from 3+4i, -12 from 5-12i, and 0 from real numbers. It focuses only on the imaginary component of complex expressions. It's an imaginary part extractor.