The trigonometric equation \( \sin ^{-1} x=2 \sin ^{-1} \) a, has a...

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The trigonometric equation \( \sin ^{-1} x=2 \sin ^{-1} \) a, has a solution for
\( \mathrm{P} \)
(1) \( \frac{-1}{\sqrt{2}}a\frac{1}{\sqrt{2}} \)
(2) all real values of a
(3) \( |a|\frac{1}{2} \)
(4) \( |a| \geq \frac{1}{\sqrt{2}} \)
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