A \( \frac{1}{\sqrt{2}}\sin^{-1}\left\{\sqrt{\frac{2}{3}}(x-1)\right\} \)
B \( \frac{1}{5}\sin^{-1}x \)
C \( \frac{1}{\sqrt{3}}\sin^{-1}(x+1) \)
D \( \frac{1}{6}\cos^{-1}(x+1) \)
Correct Answer: Option A
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