Phi makes a problem

Geometry Level 2

\[\begin{align} \sin(\theta) &= \dfrac{1}{2} \\ \color{white}{\text{black space}} \\ \sin(\phi) &= \dfrac{1}{3} \\ \color{white}{\text{black space}} \\ \sin(2\theta+2\phi) &= \ ? \end{align} \]

Assume \(\theta\) and \(\phi\) are angles in the first quadrant.

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