From c38a484e2a8a20da1150423da5b844a4f895f8f7 Mon Sep 17 00:00:00 2001
From: Benjamin Chausse <benjamin@chausse.xyz>
Date: Tue, 3 Dec 2024 23:56:04 -0500
Subject: ami euler

---
 annexe/main.tex | 7 ++++---
 1 file changed, 4 insertions(+), 3 deletions(-)

diff --git a/annexe/main.tex b/annexe/main.tex
index 58d3310..b532a34 100644
--- a/annexe/main.tex
+++ b/annexe/main.tex
@@ -2,11 +2,11 @@
 % xelatex
 
 \usepackage{titlepage}
+\usepackage{document}
 \usepackage{booktabs}
 \usepackage{bookmark}
 \usepackage{subcaption}
 % \usepackage[american]{circuitikz}
-\usepackage{document}
 \usepackage{float}
 \usepackage{multicol}
 \usepackage{siunitx}
@@ -95,7 +95,8 @@
 		\nonumber\\
 		\al = \frac{R}{2L} \label{eq:alpha}\\
 		\omega_0 = \frac{1}{\sqrt{LC}} \label{eq:omega_0}\\
-		\omega_n = \sqrt{\omega_0^2 - \al^2 \label{eq:omega_n}}
+		\omega_n = \sqrt{\omega_0^2 - \al^2 \label{eq:omega_n}} \\
+		e^{j\theta} = \cos(\theta) + j\sin(\theta) \label{eq:euler}
 	\end{gather}
 
 	\newpage
@@ -288,7 +289,7 @@
 	\begin{gather*}
 		\begin{align}
 			\vlt & = \cancel{0e^{(\al-\rootd)t}} -12 e^{-5\exp{6}t} \\
-			\vlt & = -12 e^{-5\exp{6}t}
+			\vlt & = -12 e^{-5\exp{6}t}                             \\
 		\end{align}
 	\end{gather*}
 
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