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The solution of the inequality `(log)_(1/2sin^(-1)x >(log)_(1//2)cos^(-1)x` is `x in [(0,1)/(sqrt(2))]` (b) `x in [1/(sqrt(2)),1]` `x in ((0,1)/(sqrt(2)))` (d) none of these

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`log_(1/2)sin^(-1)x>log_(1/2)cos^(-1)x`
`cos^(-1)x>sin^(-1)x`
`cosx>pi/2-cosx`
`2cosx>pi/2`
`cosx>pi/4`
`0ltx<1/sqrt2`.

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