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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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The equation sin⁡x+siny+sin⁡z=−3\sin x + siny + \sin z = - 3 for 0≤x≤2π,   0≤y≤2π,   0≤z  ≤  2π0 \le x \le 2\pi ,\;\,0 \le y \le 2\pi ,\;\,0 \le z\,\, \le \,\,2\pi has

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Correct option: A
One solution
Option A (One solution) is correct because the minimum value of sin(x) is -1, and the equation is only satisfied when sin(x) = sin(y) = sin(z) = -1.

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