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Question Number 95520 by PRITHWISH SEN 2 last updated on 25/May/20

$$\mathrm{For}0<\mathrm{x}<\frac{\pi }{6},\mathrm{all}\mathrm{the}\mathrm{values}\mathrm{of}$$ $$\tan {}^2\left(3\mathrm{x}\right)\cos {}^2\left(\mathrm{x}\right)-4\tan \left(3\mathrm{x}\right)\sin \left(2\mathrm{x}\right)+16\sin {}^2\left(\mathrm{x}\right)$$ $$\mathrm{lie}\mathrm{in}\mathrm{the}\mathrm{interval}$$ $$\left(\mathrm{a}\right).(0,\frac{121}{36})\left(\mathrm{b}\right).(1,\frac{121}{9})\left(\mathrm{c}\right).(-1,0)\left(\mathrm{d}\right).\mathrm{None}\mathrm{of}\mathrm{these}.$$

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