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JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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The real part of tan⁡(α+iβ)\tan (\alpha+i \beta) is
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Correct option: A
2sin⁡2α2cos⁡2α+e2β+e−2β\frac{2 \sin 2 \alpha}{2 \cos 2 \alpha+\mathrm{e}^{2 \beta}+\mathrm{e}^{-2 \beta}}
Option A is correct because the real part of tan⁡(α+iβ)\tan(\alpha+i \beta) is derived using trigonometric identities and Euler's formula.

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