
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
In triangle $\triangle OAB$, let $\overrightarrow{OA}=(2\cos \alpha, 2\sin \alpha)$ and $\overrightarrow{OB}=(5\cos \beta, 5\sin \beta)$. If $\overrightarrow{OA} \cdot \overrightarrow{OB} = -5$, then calculate the area of $\triangle OAB$, $S_{\triangle OAB}$.

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