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complexe puis mettre sous forme exponentielle. \begin{multicols}{3} \begin{enumerate} \item $z_1 = 1$ \item $z_2 = -3i$ + \item $z_3 = 1 + i\sqrt{3}$ + \item $z_4 = \sqrt{3} + i$ - \item $z_4 = 2i$ - \item $z_5 = \sqrt{3} + i$ - \item $z_6 = 10\sqrt{3}i$ - - \item $z_7 = 1 - i$ - \item $z_8 = \sqrt{3} + 3i$ - \item $z_9 = \frac{-1 - i\sqrt{3}}{2}$ + \item $z_5 = 1 - i$ + \item $z_6 = \frac{-1 - i\sqrt{3}}{2}$ \end{enumerate} \end{multicols} \end{exercise} \begin{exercise}[subtitle={Exponentielle -> Algébrique}, step={2}, origin={Création}, topics={Exponentielle complexe}, tags={Complexe}] + Placer les nombres suivants sur le plan complexe puis mettre sous forme algébrique. \begin{multicols}{3} \begin{enumerate} \item $z_1 = e^{i\pi}$ - \item $z_2 = e^{-i\frac{\pi}{3}}$ - \item $z_3 = 2e^{i\frac{\pi}{4}}$ + \item $z_2 = 1e^{i\frac{\pi}{4}}$ - \item $z_4 = e^{-i\frac{\pi}{2}}$ - \item $z_5 = 5e^{-i\frac{4\pi}{3}}$ - \item $z_6 = e^{i\frac{\pi}{2}} + e^{-2i\pi}$ + \item $z_3 = e^{-i\frac{\pi}{2}}$ + \item $z_4 = 5e^{-i\frac{4\pi}{3}}$ - \item $z_7 = 10e^{i\frac{2\pi}{6}}$ - \item $z_8 = \frac{1}{2}e^{i\pi}$ - \item $z_9 = 56e^{-i\frac{\pi}{6}}$ + \item $z_5 = 10e^{i\frac{2\pi}{6}}$ + \item $z_6 = \frac{1}{2}e^{i\pi}$ \end{enumerate} \end{multicols} \end{exercise}