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JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

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Application +4 | -1
If in a triangle ABC,2cot⁡Bcot⁡C=1A B C, 2 \cot B \cot C=1, then cos⁡Bcos⁡C\cos B \cos C will be equal to
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Correct option: C
cos⁡A\cos A
Option C (cos⁡A\cos A) is correct because the given condition 2cot⁡Bcot⁡C=12 \cot B \cot C = 1 can be manipulated using trigonometric identities to show that cos⁡Bcos⁡C=cos⁡A\cos B \cos C = \cos A.

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