Prove that the equation has no solution for .

MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

Prove that the equation 2sin⁡x=∣x∣+a2\sin x=|x|+a has no solution for a∈(33−π3,∞)a\in\left(\frac{3\sqrt{3}-\pi}{3},\infty\right).

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