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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Analyzing +4 | -1
The set of values of xx for which sin⁡xcos⁡3x>cos⁡xsin⁡3x,0≤x≤2π\sin x \cos ^3 x>\cos x \sin ^3 x, 0 \leq x \leq 2 \pi, is
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Correct option: B
(0,π4)\left(0, \frac{\pi}{4}\right)
Option B ((0,π4)\left(0, \frac{\pi}{4}\right)) is correct because it represents the interval where the inequality sin⁡xcos⁡3x>cos⁡xsin⁡3x\sin x \cos ^3 x > \cos x \sin ^3 x holds true for 0≤x≤2π0 \leq x \leq 2 \pi.

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