IMARGUMENT Google Sheet Formula

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IMARGUMENT Formula Syntax

=IMARGUMENT("3+4i")

Example Use Case

Calculating the argument (theta) of a complex number in radians

Understanding the IMARGUMENT Formula

The IMARGUMENT function in Excel calculates the argument (angle in radians) of a complex number. It's a complex number tool for polar representation—like determining the angle a complex number makes with the positive real axis in the complex plane.

IMARGUMENT("3+4i") returns approximately 0.9273, the angle in radians that the complex number 3+4i makes with the positive real axis. It takes a complex number as text input and computes its argument—useful for engineering, physics, or mathematics requiring polar representation of complex values.

Why Use IMARGUMENT?

IMARGUMENT finds complex angles—think signal processing or alternating current analysis. Its ability to determine the angular component makes it valuable for phase calculations, converting between rectangular and polar forms, or analyzing rotational aspects of complex systems.