Simplify
\[\tan 9^\circ + \cot 9^\circ - \tan 27^\circ - \cot 27^\circ.\]
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Simplify
\[\tan 9^\circ + \cot 9^\circ - \tan 27^\circ - \cot 27^\circ.\]
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
4
Simplify
\[\tan 9^\circ + \cot 9^\circ - \tan 27^\circ - \cot 27^\circ.\]
train