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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Application +4 | -1
The numerical value of tan⁡π3+2tan⁡2π3+4tan⁡4π3+8tan⁡8π3\tan \frac{\pi}{3}+2 \tan \frac{2 \pi}{3}+4 \tan \frac{4 \pi}{3}+8 \tan \frac{8 \pi}{3} is
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Correct option: A
−53-5 \sqrt{3}
Option A (−53-5 \sqrt{3}) is correct because using the properties of the tangent function, the expression simplifies to −5tan⁡π3-5 \tan \frac{\pi}{3}, which equals −53-5\sqrt{3}.

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