
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
Point $A$ and $B$ are respectively the first highest point and the first lowest point on the graph of the function $y=\cos(\frac{π}{2}x-\frac{π}{6})$ to the right of the $y$-axis. $O$ is the origin. Calculate the dot product $\overrightarrow{OA}•\overrightarrow{OB}$.

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