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JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

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Application +4 | -1
If A+B+C=(2n+1)πA+B+C=(2 n+1) \pi, then tan⁡A+tan⁡B+tan⁡C\tan A+\tan B+\tan C is equal to
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Correct option: A
tan⁡Atan⁡Btan⁡C\tan A \tan B \tan C
Option A (tan⁡Atan⁡Btan⁡C\tan A \tan B \tan C) is correct because when A+B+C=(2n+1)πA+B+C=(2n+1)\pi, the identity tan⁡A+tan⁡B+tan⁡C=tan⁡Atan⁡Btan⁡C\tan A + \tan B + \tan C = \tan A \tan B \tan C holds true.

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