Let $\theta$ be an angle such that $\sin 2 \theta = \frac{1}{3}.$  Compute $\sin^6 \theta + \cos^6 \theta.$
Question:
Let $\theta$ be an angle such that $\sin 2 \theta = \frac{1}{3}.$  Compute $\sin^6 \theta + \cos^6 \theta.$
Answer:
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Let $\theta$ be an angle such that $\sin 2 \theta = \frac{1}{3}.$  Compute $\sin^6 \theta + \cos^6 \theta.$
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