Prove that: \( \tan ^{-1}\left(e^{i \theta}\right)=\frac{n \pi}{2}+...

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Prove that:
\( \tan ^{-1}\left(e^{i \theta}\right)=\frac{n \pi}{2}+\frac{\pi}{4}-\frac{i}{2} \operatorname{In} \tan \left(\frac{\pi}{4}-\frac{\theta}{2}\right) \), where ' \( n \) ' is ar
\( \mathrm{P} \)
W integer.
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