Given $\tan \theta = \frac{1}{7},$ find
\[\frac{1}{1 + \cos \theta} + \frac{1}{1 - \cos \theta}.\]
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Given $\tan \theta = \frac{1}{7},$ find
\[\frac{1}{1 + \cos \theta} + \frac{1}{1 - \cos \theta}.\]
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
100
Given $\tan \theta = \frac{1}{7},$ find
\[\frac{1}{1 + \cos \theta} + \frac{1}{1 - \cos \theta}.\]
train