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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

1 Easy
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Application +4 | -1
If sin⁡αsin⁡β−cos⁡αcos⁡β+1=0\sin \alpha \sin \beta-\cos \alpha \cos \beta+1=0, then the value of cot⁡αtan⁡β\cot \alpha \tan \beta is
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Correct option: A
−1-1
Option A (-1) is correct because the given condition implies that α+β=2nπ\alpha + \beta = 2n\pi, and thus cot⁡αtan⁡β=−1\cot \alpha \tan \beta = -1.

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