
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 $$f(x)= \sqrt {3}\sin(\pi-x)\cos(-x)+\sin(\pi+x)\cos\left( \frac {\pi}{2}-x\right)$$, find the dot product $$\overrightarrow {AB} \cdot \overrightarrow {AC}$$, given points A, B, and C are respectively the lowest and the two highest points on the graph.

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