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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Application +4 | -1
The solution of the equation [sin⁡  x+cos⁡  x]1+sin⁡2x=2{\left[ {\sin \,\,x + \cos \,\,x} \right]^{1 + \sin 2x}} = 2, − π≤x≤π- \,\pi \le x \le \pi is
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Correct option: C
π4\frac{\pi }{4}
Option C (π/4) is correct because substituting x = π/4 into the equation satisfies the given condition.

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