Let $\theta$ be an acute angle such that
\[\sin 5 \theta = \sin^5 \theta.\]Compute $\tan 2 \theta.$
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Let $\theta$ be an acute angle such that
\[\sin 5 \theta = \sin^5 \theta.\]Compute $\tan 2 \theta.$
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
2 \sqrt{2}
Let $\theta$ be an acute angle such that
\[\sin 5 \theta = \sin^5 \theta.\]Compute $\tan 2 \theta.$
train