Solution set of inequation \( \left(\cos ^{-1} x\right)^{2}-\left(\sin ^{-1} x\right)^{2}0 \) is...

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Solution set of inequation \( \left(\cos ^{-1} x\right)^{2}-\left(\sin ^{-1} x\right)^{2}0 \) is:
(a) \( \left[0, \frac{1}{\sqrt{2}}\right] \)
(b) \( \left[-1, \frac{1}{\sqrt{2}}\right) \)
(c) \( (-1, \sqrt{2}) \)
(d) None of these
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