1.

Let \[x\in (0,1).\]The set of all x such that \[{{\sin }^{-1}}x>{{\cos }^{-1}}x,\] is the interval:

A. \[\left( \frac{1}{2},\frac{1}{\sqrt{2}} \right)\]
B. \[\left( \frac{1}{\sqrt{2}},1 \right)\]
C. \[(0,1)\]
D. \[\left( 0,\frac{\sqrt{3}}{2} \right)\]
Answer» C. \[(0,1)\]


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