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The trigonometric equation sin^(-1)x=2si...

The trigonometric equation `sin^(-1)x=2sin^(-1)2a` has a real solution if

A

`|a|gt(1)/(sqrt2)`

B

`(1)/(2sqrt2)lt|a|lt(1)/(sqrt2)`

C

`|a|gt(1)/(2sqrt2)`

D

`|a|le(1)/(2sqrt2)`

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