Show that \( e^{\mathrm{i} 2 \mathrm{~m} \theta}\left(\frac{i \cot ...

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Show that \( e^{\mathrm{i} 2 \mathrm{~m} \theta}\left(\frac{i \cot \theta+1}{i \cot \theta-1}\right)^{\mathrm{m}}=1(\mathrm{~m} \in \mathrm{Z}) \)
\( \mathrm{P} \)
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