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JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

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

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Correct option: A
One solution
Option A (One solution) is correct because the equation is only satisfied when sin(x) = sin(y) = sin(z) = -1, which occurs at x = y = z = 3π/2 within the given range.

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