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JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

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Application +4 | -1
If sin⁡A−6cos⁡A=7cos⁡A\sin A-\sqrt{6} \cos A=\sqrt{7} \cos A, then cos⁡A+6sin⁡A\cos A+\sqrt{6} \sin A is equal to
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Correct option: B
7sin⁡A\sqrt{ } 7 \sin A
Option B (7sin⁡A\sqrt{7} \sin A) is correct because by manipulating the given equation, we can express cos⁡A\cos A in terms of sin⁡A\sin A and then substitute to find the value of cos⁡A+6sin⁡A\cos A + \sqrt{6} \sin A.

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