$MaxExtraPrecision
 Usage
Notes
 Further Examples
The default value of $MaxExtraPrecision is  .
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The default value of $MaxExtraPrecision gives the result with precision  as asked.
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This computes a rational approximation to Cos[7].
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In this case we do not get  digits in the result.
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To get  digits we temporarily increase the value of $MaxExtraPrecision.
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Inequalities such as this one are evaluated using numerical methods.
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Some inequalities cannot be verified numerically no matter how much extra precision is used.
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FullSimplify verifies the inequality.
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