Limits to the Limit -3!

Calculus Level 3

\[ \large \lim_{x\to 0} \left( \frac{1 - \left[\cos(x) \sqrt{\cos(2x)} \right]}{\tan^2 x} \right) \]

If the limit above can be expressed as \( \frac AB\) where \(A,B\) are coprime positive integers, find \(A+B\).

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