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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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The equation sin⁡x+sin⁡y+sin⁡z=−3\sin x+\sin y+\sin z=-3 for 0≤x≤2π0 \leq x \leq 2 \pi. 0≤y≤2π,0≤z≤2π0 \leq y \leq 2 \pi, 0 \leq z \leq 2 \pi, has
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Correct option: A
One solution
Option A (One solution) is correct because the maximum value of sin⁡x\sin x is 1, so for the sum to be -3, each term must be -1, leading to a unique solution.

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