# Decent Trigonometry!

Geometry Level 3

If $\tan \theta =\dfrac 34$ for $0 \le \theta \le \dfrac \pi 2$, then $\cos \dfrac \theta 2 = \dfrac x {\sqrt{y}}$, where $x$ and $y$ are positive integers with $y$ being square-free, find $x + y$.

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