Given that
\[\sin \left( \theta + \frac{\pi}{4} \right) = \frac{1}{3},\]compute $\sin 2 \theta.$
Question:
Given that
\[\sin \left( \theta + \frac{\pi}{4} \right) = \frac{1}{3},\]compute $\sin 2 \theta.$
Answer:
Let's think step by step.

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-\frac{7}{9}
Given that
\[\sin \left( \theta + \frac{\pi}{4} \right) = \frac{1}{3},\]compute $\sin 2 \theta.$
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