Don't get nervous

Algebra Level pending

Let \(\bar u\) denote the complex conjugate of the complex number \(u\). If \(\bar u = \dfrac{e^{2ix} - 1}{e^{2ix} + 1} \), state the value of \(u\) in terms of \(\cot x\).

Clarification: \(i = \sqrt{-1} \).

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