
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 the polar coordinate system, the polar coordinates of two points $A$ and $B$ are given as $A\left( 3,\frac{\pi }{3} \right)$ and $B\left( 4,\frac{\pi }{6} \right)$. Calculate the area of $\Delta OBA$ (where $O$ is the pole).

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