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

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

A

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

B

for all real valucs of `a`

C

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

D

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

Text Solution

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The correct Answer is:
D
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