
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 function $f(x)=2\sin ( \frac {π}{6}x+ \frac {π}{3})$ where $-2 < x < 10$, the graph of the function intersects the $x$-axis at point $A$. A line $l$ passing through point $A$ intersects the graph of the function at points $B$ and $C$. Calculate the value of $(\overrightarrow{OB}+ \overrightarrow{OC})\cdot \overrightarrow{OA}$.

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