The interval of variation of \( x \) for which \( \cos ^{-1} \sqrt{...

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The interval of variation of \( x \) for which \( \cos ^{-1} \sqrt{1-x^{2}}=\sin ^{-1} x \) is true is
(a) \( [0,1] \)
(b) \( [-1,1] \)
(c) \( [0,1 / 2] \)
(d) \( [-1 / 2,1] \)
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