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Solve cos^(-1)x >cos^(-1)x^2...

Solve `cos^(-1)x >cos^(-1)x^2`

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`cos^(-1) x gt cos^(-1) x^(2)`
or `x lt x^(2)` ( `:' cos^(-1)` is decreasing)
or `x^(2) - x gt 0`
or `x(x -1) gt0`
`rArr x in [-1, 0)`
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