If $\cos^{-1}x\;>\;\sin^{-1}x,$ then $$\begin{array}{1 1}(A)\quad\frac{1}{\sqrt 2}<x\leq 1& (B)\quad 0\leq x<\frac{1}{\sqrt 2}\\(C)\quad -1\leq x<\frac{1}{\sqrt 2} & (D)\quad x>0\end{array}$$

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