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

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

A

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

B

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

C

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

D

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

Verified by Experts

The correct Answer is:

D

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