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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Application +4 | -1
The sum of all the solutions of the equation cos⁡x⋅cos⁡(π3+x)⋅cos⁡(π3−x)=14,x∈[0,6π]\cos x \cdot \cos \left(\frac{\pi}{3}+x\right) \cdot \cos \left(\frac{\pi}{3}-x\right)=\frac{1}{4}, x \in[0,6 \pi] is
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Correct option: C
110π3\frac{110 \pi}{3}
None of the options are correct. The sum of all solutions is 30π30\pi, so Option D (None of these) is correct.

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