Commit b4da87a8 authored by Claude Meny's avatar Claude Meny

Update cheatsheet.fr.md

parent 65d7f977
Pipeline #15572 canceled with stage
......@@ -64,12 +64,12 @@ $`\begin{align} U(&x,t) = U_1(x,t) + U_2(x,t) \\
&\\
&=A\;\big[\,cos(\underbrace{kx - \omega t}_{\text{ posons }\\ kx - \omega t \,=\, \alpha} + \varphi_1) + cos(\underbrace{kx - \omega t}_{=\; \alpha} + \varphi_1)\,\big]
&\\
&=A\;\big[\,cos\Big(\alpha + \dfrac{\varphi_1+\varphi_1}{2} + \dfrac{\varphi_2-\varphi_2}{2}\Big) \\
&\quad\quad + \,cos\Big(\alpha + \dfrac{\varphi_2+\varphi_2}{2} + \dfrac{\varphi_1-\varphi_1}{2}\Big)\,\Big]\\
&=A\;\big[\,cos\Big(alpha + \dfrac{\varphi_1+\varphi_1}{2} + \dfrac{\varphi_2-\varphi_2}{2}\Big) \\
&\quad\quad\quad + \,cos\Big(\alpha + \dfrac{\varphi_2+\varphi_2}{2} + \dfrac{\varphi_1-\varphi_1}{2}\Big)\,\Big]\\
&\\
&=A\;\big[\,cos\Big(\underbrace{alpha + \dfrac{\varphi_1+\varphi_2}{2}}_{\alpha '} + \dfrac{\varphi_1-\varphi_2}{2}\Big) \\
&\quad\quad\quad + \,cos\Big(\underbrace{\alpha + \dfrac{\varphi_1+\varphi_2}{2}}_{\text{nous avons posé}\\\alpha + \dfrac{\varphi_1+\varphi_2}{2} = \alpha '} - \dfrac{\varphi_1-\varphi_1}{2}\Big)\,\Big]\\
&\\
&=A\;\big[\,cos\Big(\alpha + \dfrac{\varphi_1+\varphi_2)}{2} + \dfrac{\varphi_1-\varphi_2)}{2}\Big) + \,cos\Big(\alpha + \dfrac{\varphi_1+\varphi_2)}{2} - \dfrac{\varphi_1-\varphi_2)}{2}\Big)\,\Big]
\end{align}`$
* L'onde résultante $`U = U_1 + U_2`$ :
$`\begin{align} U(x,t) &= U_1(x,t) + U_2(x,t) \\
......
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