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JEE MATHEMATICS MCQ: MULTIPLE AND SUBMULTIPLE ANGLES

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Analyzing +4 | -1
If α\alpha and β\beta are acute angles cos⁡  2α=3cos⁡  2β−13−cos⁡  2β\cos \,\,2\alpha = \frac{{3\cos \,\,2\beta - 1}}{{3 - \cos \,\,2\beta }}, then tan⁡α  cot⁡β=\tan \alpha \,\,\cot \beta =
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Correct option: B
2\sqrt 2
Option B (2\sqrt 2) is correct because by applying componendo and dividendo and simplifying, we find that tan⁡αcot⁡β=2\tan \alpha \cot \beta = \sqrt 2.

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