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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Analyzing +4 | -1
If cos⁡  2x=(2+1)  (cos⁡  x−12),  cos⁡  x≠12\cos \,\,2x = \left( {\sqrt 2 + 1} \right)\,\,\left( {\cos \,\,x - \frac{1}{{\sqrt 2 }}} \right),\,\,\cos \,\,x \ne \frac{1}{2}, then x∈Ix \in I
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Correct option: D
{2nπ  ±  π4:n∈Z}\left\{ {2n\pi \,\, \pm \,\,\frac{\pi }{4}:n \in Z} \right\}
Option D ({2nπ±π4:n∈Z}\{ {2n\pi \pm \frac{\pi }{4}:n \in Z} \}) is correct because it represents the general solution obtained after solving the given trigonometric equation.

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