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

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

B

All real values of a

C

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

D

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

Verified by Experts

The correct Answer is:

C

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