Simplify
\[\frac{\tan x}{\sec x + 1} - \frac{\sec x - 1}{\tan x}.\]
Question:
Simplify
\[\frac{\tan x}{\sec x + 1} - \frac{\sec x - 1}{\tan x}.\]
Answer:
Let's think step by step.

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Simplify
\[\frac{\tan x}{\sec x + 1} - \frac{\sec x - 1}{\tan x}.\]
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