This isn't too trigy :

Geometry Level 1

\[cos^2 \theta\ = \frac{4}{9}\] If the value of tan\(\theta\) can be given as: \[\frac{\pm\sqrt{a}}{b},\] where \( a \) is a square free integer and \(b\) is a positive integer. What is the value of: \[a+b \ ? \]

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