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JEE MATHEMATICS MCQ: HYPERBOLIC FUNCTIONS

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Application +4 | -1
The real and imaginary part of 2sin⁡(α+iβ)cos⁡(α−iβ)2 \sin (\alpha+i \beta) \cos (\alpha-i \beta) are
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Correct option: C
sin⁡2α,sinh⁡2β\sin 2 \alpha, \sinh 2 \beta
Option C (sin⁡2α,sinh⁡2β\sin 2 \alpha, \sinh 2 \beta) is correct because it correctly identifies the real and imaginary parts after applying trigonometric identities and hyperbolic functions.

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