Simplify
\[\frac{1}{1 - \tan^2 x} + \frac{1}{1 - \cot^2 x}.\]
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Simplify
\[\frac{1}{1 - \tan^2 x} + \frac{1}{1 - \cot^2 x}.\]
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
1
Simplify
\[\frac{1}{1 - \tan^2 x} + \frac{1}{1 - \cot^2 x}.\]
train