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JEE MATHEMATICS MCQ: MULTIPLE AND SUBMULTIPLE ANGLES

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Application +4 | -1
If cos⁡  2α=3cos⁡  2β−13−cos⁡  2β\cos \,\,2\alpha = \frac{{3\cos \,\,2\beta - 1}}{{3 - \cos \,\,2\beta }}, then tan⁡α\tan \alpha is equal to
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Correct option: A
2  tan⁡  β\sqrt 2 \,\,\tan \,\,\beta
Option A (2  tan⁡  β\sqrt 2 \,\,\tan \,\,\beta) is correct because by applying componendo and dividendo, tan⁡α\tan \alpha can be expressed in terms of tan⁡β\tan \beta.

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