The solution of the inequality log(1/2) ...

The solution of the inequality `log_(1/2) sin^-1 x>log_(1/2) cos^-1x` is

A

`x in [0, (1)/(sqrt(2))]`

B

`x in ((1)/(sqrt(2)), 1]`

C

`x in (0, (1)/(sqrt(2)))`

D

None of these

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The correct Answer is:

C

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