The inequality holds for

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

Problem

The inequality sin⁡−1(sin⁡5)>x2−4x\sin^{-1}(\sin 5) > x^2 - 4x holds for (a) x∈(2−9−2π,2+9−2π)x \in (2 - \sqrt{9 - 2\pi}, 2 + \sqrt{9 - 2\pi}) (b) x>2+9−2πx > 2 + \sqrt{9 - 2\pi} (c) x<2−9−2πx < 2 - \sqrt{9 - 2\pi} (d) x∈ϕx \in \phi

Related theory

Browse the problem library