In right triangle $DEF$, we have $\angle E = 90^\circ$ and $\tan D = 3\sin D$.  What is $\sin F$?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
In right triangle $DEF$, we have $\angle E = 90^\circ$ and $\tan D = 3\sin D$.  What is $\sin F$?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
\frac13
In right triangle $DEF$, we have $\angle E = 90^\circ$ and $\tan D = 3\sin D$.  What is $\sin F$?
train