Example 3 Show that\sin ^{-1}\left(2 x \sqrt{1-x^{2}}\right)=2 \sin ^{ – InterviewSolution

1.	Example 3 Show that\sin ^{-1}\left(2 x \sqrt{1-x^{2}}\right)=2 \sin ^{-1} x,-\frac{x}{\sqrt{2}} \leq x \leq \frac{1}{\sqrt{2}}
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