Given that
\[\cos 2 \theta = \frac{1 + \sqrt{5}}{4},\]find $\tan^2 \theta \tan^2 3 \theta.$
Question:
Given that
\[\cos 2 \theta = \frac{1 + \sqrt{5}}{4},\]find $\tan^2 \theta \tan^2 3 \theta.$
Answer:
Let's think step by step.

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Given that
\[\cos 2 \theta = \frac{1 + \sqrt{5}}{4},\]find $\tan^2 \theta \tan^2 3 \theta.$
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