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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Analyzing +4 | -1
If cos⁡  x≠−12\cos \,\,x \ne - \frac{1}{2}, then the solutions of cos⁡  x+cos⁡  2x+cos⁡  3x=0\cos \,\,x + \cos \,\,2x + \cos \,\,3x = 0 are
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Correct option: A
2nπ  ±  π4, n∈Z2n\pi \,\, \pm \,\,\frac{\pi }{4},\,n \in Z
Option A (2nπ ± π4, n∈Z2n\pi \, \pm \, \frac{\pi }{4},\,n \in Z) is correct because solving the trigonometric equation cos⁡x+cos⁡2x+cos⁡3x=0\cos x + \cos 2x + \cos 3x = 0 yields this general solution.

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