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

The solution set of inequality `log_(1/2) sin^-1 x gt log_(1/2) cos^-1 x`

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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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