
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 sets $$A=\{\sin x | x= \frac {\pi }{6}+6k\pi ,k\in \mathbb{Z}\}$$ and $$B=\{\cos x | x= \frac {\pi }{3}+3k\pi ,k\in \mathbb{Z}\}$$, the sum of all the elements in the set $A \cup B$ is ____.

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