For how many real numbers in the interval does the inequality hold?

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

Problem

For how many real numbers xx in the interval (0,1)(0,1) does the inequality arcsin⁡x>arctan⁡x\arcsin x>\arctan x hold? (a) No xx in (0,1)(0,1) (b) Only xx in (0,12)(0,\tfrac12) (c) All xx in (0,1)(0,1) (d) Exactly one value of xx in (0,1)(0,1)

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