The most amazing maths equation

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#1

Show that, the complex number, \(z\), in the polar form, i.e., \( \text{cos}\theta + i\text{sin}\theta \ = \ e^{i\theta}\),

and consequently establish that, if \( \theta = \pi \), then

\begin{align}e^{i\theta} + 1 = 0\end{align}
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