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

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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To solve the inequality \( \log_{1/2}(\sin^{-1} x) > \log_{1/2}(\cos^{-1} x) \), we can follow these steps: ### Step 1: Rewrite the Inequality We start with the given inequality: \[ \log_{1/2}(\sin^{-1} x) > \log_{1/2}(\cos^{-1} x) \] Using the property of logarithms, we can rewrite this as: ...
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