
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
Given the definition \\( \begin{vmatrix} a & b \\ c & d \end{vmatrix} = ad - bc, \\) let \\( \theta \\) be the smallest internal angle in the acute triangle \\( \triangle ABC. \\) For the function \\( f(\theta) = \begin{vmatrix} \sin \theta & \cos \theta \\ -1 & 1 \end{vmatrix}, \\) find the maximum value of \\( f(\theta). \\)

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