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MATHEMATICS · Single correct · CBSE · Mathematics · Inverse Trigonometric Functions · Inverse Trigonometric Functions

Problem

Solve for xx: −π6≤arcsin⁡(3x−1)<π3-\dfrac{\pi}{6} \le \arcsin(3x-1) < \dfrac{\pi}{3}. (a) 16<x≤2+36\dfrac{1}{6} < x \le \dfrac{2+\sqrt{3}}{6} (b) 12≤x<2+36\dfrac{1}{2} \le x < \dfrac{2+\sqrt{3}}{6} (c) 16≤x<2+36\dfrac{1}{6} \le x < \dfrac{2+\sqrt{3}}{6} (d) 16≤x<36\dfrac{1}{6} \le x < \dfrac{\sqrt{3}}{6}

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