
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
A rectangular piece of paper is 8 inches wide and 10 inches long. The paper is folded diagonally so that one corner touches a specific point, 2 inches away from the adjacent side along the base. Determine the length in inches of the crease \( L \) in terms of the angle \( \theta \) the crease makes with the base.
A) \( 2\sec \theta\csc \theta \)
B) \( 4 \sec \theta \csc \theta \)
C) \( 8 \sec \theta \csc \theta \)
D) \( 2 \sec \theta \csc^2 \theta \)

Present the answer in LaTex format: \boxed{Your answer}
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