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

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

A

`-(sqrt(3))/2lt alpha lt(sqrt(3))/2`

B

all real values of `alpha`

C

`|alpha|le1/(sqrt(2))`

D

`|alpha|+ge1/(sqrt(2))`

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The correct Answer is:
C
NA
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