solution: We can write
  \begin{align*}
  \frac{\sec x}{\sin x} - \frac{\sin x}{\cos x} &= \frac{1}{\cos x \sin x} - \frac{\sin x}{\cos x} \\
  &= \frac{1 - \sin^2 x}{\cos x \sin x} \\
  &= \frac{\cos^2 x}{\cos x \sin x} \\
  &= \frac{\cos x}{\sin x} \\
  &= \boxed{\cot x}.
  \end{align*}
prompt.content: <|im_start|>system
  You are a helpful assistant.<|im_end|>
  <|im_start|>user
  Simplify
  \[\frac{\sec x}{\sin x} - \frac{\sin x}{\cos x}.\]
  Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
  <|im_start|>assistant
  
prompt.role: user
extra_info.answer: \cot x
extra_info.question: Simplify
  \[\frac{\sec x}{\sin x} - \frac{\sin x}{\cos x}.\]
extra_info.split: test