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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Application +4 | -1
The sum of the solutions in (0,2π)(0,2 \pi) of the equation cos⁡xcos⁡(π3−x)cos⁡(π3+x)=14\cos x \cos \left(\frac{\pi}{3}-x\right) \cos \left(\frac{\pi}{3}+x\right)=\frac{1}{4} is
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Correct option: C
2π2 \pi
Option C (2π2 \pi) is correct because using the trigonometric identity, the sum of solutions in (0, 2π) is 2π2\pi.

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