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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1
If sin⁡β\sin \beta is geometric mean between sin⁡α\sin \alpha and cos⁡α\cos \alpha, then cos⁡2β\cos 2 \beta is equal to
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Correct option: A
2sin⁡2(π4−α)2 \sin ^2\left(\frac{\pi}{4}-\alpha\right)
Option A (2sin⁡2(π4−α)2 \sin ^2(\frac{\pi}{4}-\alpha)) is correct because by using the geometric mean property and trigonometric identities, cos⁡2β\cos 2 \beta can be expressed in the given form.

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