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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 < 1 0<x<y<1 0 < 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 arcsin x < arcsin y 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 arcsin x > arcsin y 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 arcsin x < arcsin y 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 arcsin x > arcsin y and arccos x > arccos y
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