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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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If 2sin⁡α1+cos⁡α+sin⁡α=x\frac{2 \sin \alpha}{1+\cos \alpha+\sin \alpha}=x, then 1−cos⁡α−sin⁡αcos⁡α\frac{1-\cos \alpha-\sin \alpha}{\cos \alpha} is equal to
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Correct option: D
None of these
Option D (None of these) is correct because simplifying the given expression leads to 1−cos⁡α−sin⁡αcos⁡α=−x\frac{{1 - \cos \alpha - \sin \alpha}}{{\cos \alpha}} = -x, which is not among the provided options.

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