Let's Find the Maximum Value !

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Let \(S\) = \( \frac { x sec x }{ 12x^{2} + 3 +12x^{2} tan x^{2} } \) for 0 \(<\) \(x\) \(<\) \( \pi \)

The maximum value of \(S\) can be written as \( \frac {a}{b} \) , where \(a\) is relatively prime with \(b\)

Then, What is the value of \(a\) + \(b\) ?

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