Let . Which one of the following statements is always…

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

Problem

Let 0<x<y<10<x<y<1. Which one of the following statements is always true? (a) arcsin⁡x<arcsin⁡y and arccos⁡x<arccos⁡y\arcsin x<\arcsin y\text{ and }\arccos x<\arccos y (b) arcsin⁡x>arcsin⁡y and arccos⁡x<arccos⁡y\arcsin x>\arcsin y\text{ and }\arccos x<\arccos y (c) arcsin⁡x<arcsin⁡y and arccos⁡x>arccos⁡y\arcsin x<\arcsin y\text{ and }\arccos x>\arccos y (d) arcsin⁡x>arcsin⁡y and arccos⁡x>arccos⁡y\arcsin x>\arcsin y\text{ and }\arccos x>\arccos y

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