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

The trigonometric equation `sin^(-1) x = 2 sin^(-1) a` has a solution for a)`1/2lt|a|lt1/sqrt2` b)All real values of a c)`|a|le1//sqrt2` d)`|a|ge1/sqrt2`

A

`1/2lt|a|lt1/sqrt2`

B

All real values of a

C

`|a|le1//sqrt2`

D

`|a|ge1/sqrt2`

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The correct Answer is:

C

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