Commit 27cf7b5f authored by Claude Meny's avatar Claude Meny

Update cheatsheet.fr.md

parent a9c1fd45
Pipeline #15787 canceled with stage
......@@ -863,21 +863,19 @@ $`\quad\boldsymbol{\mathbf{=\color{brown}{2\,A\cdot cos\Big(\dfrac{\varphi_1-\va
<br>
$`\color{blue}{\scriptsize{\quad\text{mettons en commun les termes qui peuvent l'être}}}`$
<br>
$`\quad =A\;\big[ \,e^{\,i\;(\omega t\,-\, kx)}\,\big(\,e^{\,i\varphi_1}\,+\,e^{\,i\varphi_1}\big)`$
$`\quad =A\;e^{\,i\;(\omega t\,-\, kx)}`$ $`\cdot\big(\,e^{\,i\varphi_1}\,+\,e^{\,i\varphi_1}\big)`$
<br>
$`\quad =A\;\big[ \,e^{\,i\;(\omega t\,-\, kx)}
\,\left[\,e^{\,i\left(\frac{\varphi1 + \varphi2}{2}\;+\;\frac{\varphi1-\varphi2}{2}\right)
$`\quad =A\;e^{\,i\;(\omega t\,-\, kx)}
\cdot\left(\,e^{\,i\left(\frac{\varphi1 + \varphi2}{2}\;+\;\frac{\varphi1-\varphi2}{2}\right)
}
\,+\,
e^{\,i\;\left(\frac{\varphi1 + \varphi2}{2}\;-\;\frac{\varphi1-\varphi2}{2}\right)}\right]`$
e^{\,i\;\left(\frac{\varphi1 + \varphi2}{2}\;-\;\frac{\varphi1-\varphi2}{2}\right)}\right)`$
<br>
$`\color{blue}{\scriptsize{\quad \text{utilisons } exp\,(a+b)\;=\; exp\,(a)\;+\; exp\,(b)}}`$
$`\color{blue}{\scriptsize{\quad\text{et regroupons encore les termes communs.}}}`$
<br>
$`A\;\big[ \,e^{\,i\;(\omega t\,-\, kx)\,e^{\,i\left(\frac{\varphi1 + \varphi2}{2}\right)}
\,\big(\,e^{\,i\left(\frac{\varphi1-\varphi2}{2}\right)}
\,+\,
e^{\,-\,,i\;\left(\dfrac{\varphi1-\varphi2}{2}\right)}\big)`$
$`A\;e^{\,i\;(\omega t\,-\, kx)\,e^{\,i\left(\frac{\varphi1 + \varphi2}{2}\right)}`$
$`\cdot\big(\,e^{\,i\left(\frac{\varphi1-\varphi2}{2}\right)}\,+\,e^{\,-\,,i\;\left(\frac{\varphi1-\varphi2}{2}\right)}\big)`$
......
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