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

The trigonometric equation `sin^(-1)x=2sin^(-1)a` has a solution for all real values (b) `|a|<1/a` `|a|lt=1/(sqrt(2))` (d) `1/2<|a|<1/(sqrt(2))`

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
D
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