IMARGUMENT Google Sheets Formula

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IMARGUMENT Formula Syntax

=IMARGUMENT("3+4i")

Example Use Case

Returns the argument (angle in radians) of a complex number in Google Sheets.

Understanding the IMARGUMENT Function in Google Sheets

The IMARGUMENT function calculates the argument (θ) of a complex number a + bi, where θ = arctan(b/a).

Why Use IMARGUMENT in Google Sheets?

IMARGUMENT is useful in mathematics or physics for finding the angle of complex numbers in polar form.

Example with Sample Data

Complex NumberFormulaResult
"3+4i"=IMARGUMENT("3+4i")0.92730
"1+i"=IMARGUMENT("1+i")0.78540
"-2-2i"=IMARGUMENT("-2-2i")-2.35619

The table shows how IMARGUMENT calculates the angle in radians (approximate values).

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