Commit 769a5337 authored by Claude Meny's avatar Claude Meny

Update cheatsheet.fr.md

parent 592d0ed3
Pipeline #15575 canceled with stage
...@@ -67,8 +67,11 @@ $`\begin{align} U(&x,t) = U_1(x,t) + U_2(x,t) \\ ...@@ -67,8 +67,11 @@ $`\begin{align} U(&x,t) = U_1(x,t) + U_2(x,t) \\
&=A\;\big[\,cos\Big(\alpha + \dfrac{\varphi_1+\varphi_1}{2} + \dfrac{\varphi_2-\varphi_2}{2}\Big) \\ &=A\;\big[\,cos\Big(\alpha + \dfrac{\varphi_1+\varphi_1}{2} + \dfrac{\varphi_2-\varphi_2}{2}\Big) \\
&\quad\quad\quad + \,cos\Big(\alpha + \dfrac{\varphi_2+\varphi_2}{2} + \dfrac{\varphi_1-\varphi_1}{2}\Big)\,\Big]\\ &\quad\quad\quad + \,cos\Big(\alpha + \dfrac{\varphi_2+\varphi_2}{2} + \dfrac{\varphi_1-\varphi_1}{2}\Big)\,\Big]\\
&\\ &\\
&=A\;\big[\,cos\Big(\underbrace{\alpha + \dfrac{\varphi_1+\varphi_2}{2}}_{\alpha '} + \dfrac{\varphi_1-\varphi_2}{2}\Big) \\ &=A\;\big[\,cos\Big(\underbrace{\alpha + \dfrac{\varphi_1+\varphi_2}{2}}_{=\;\alpha '} + \dfrac{\varphi_1-\varphi_2}{2}\Big) \\
&\quad\quad\quad + \,cos\Big(\underbrace{\alpha + \dfrac{\varphi_1+\varphi_2}{2}}_{\text{nous avons posé }\\ \alpha + (\varphi_1+\varphi_2)/2 = \alpha '} - \dfrac{\varphi_1-\varphi_1}{2}\Big)\,\Big]\\ &\quad\quad\quad + \,cos\Big(\underbrace{\alpha + \dfrac{\varphi_1+\varphi_2}{2}}_{\text{nous avons posé }\\ \alpha + (\varphi_1+\varphi_2)/2\; = \;\alpha '} - \dfrac{\varphi_1-\varphi_2}{2}\Big)\,\Big]\\
&\\
&=A\;\big[\,cos\Big(\alpha ' + \dfrac{\varphi_1-\varphi_2}{2}\Big) \\
&\quad\quad\quad + \,cos\Big(\alpha ' - \dfrac{\varphi_1-\varphi_2}{2}\Big)\,\Big]\\
&\\ &\\
\end{align}`$ \end{align}`$
* L'onde résultante $`U = U_1 + U_2`$ : * L'onde résultante $`U = U_1 + U_2`$ :
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