The [[Argument]] is a [[Function]] [[Universal Quantifier|For Any]] [[Complex Numbers|Complex Number]] $z$ defined as the angle $z$ makes with the positive [[Real Numbers|Real]] axis. ![[../../00 Asset Bank/Pasted image 20250406222126.png|invert_Sepia]] $\huge \arg : \C \to (-\pi, \pi] $ $\huge \arg(e^{i\theta}) = \theta $ >[!note] >This formula oly works if $\theta \in (-\pi,\pi]$, if $\theta\in \R$ then you can get it in the range by using this: >$\large \arg(e^{i\theta}) = \arccos(\cos(\theta)) $