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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Application +4 | -1
If 3  cos⁡ x≠2  sin⁡x3\,\,\cos \,x \ne 2\,\,\sin x, then the general solution of sin⁡2x−cos⁡  2x=2−sin⁡  2x{\sin ^2}x - \cos \,\,2x = 2 - \sin \,\,2x is
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Correct option: C
(4n±1)π2,   n∈Z\left( {4n \pm 1} \right)\frac{\pi }{2},\,\;n \in Z
Option C ((4n±1)π2,; n∈Z\left( {4n \pm 1} \right)\frac{\pi }{{2}},\\;\,n \in Z) is correct because solving the trigonometric equation leads to this general solution.

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