
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
The average monthly temperature $y(℃)$ of a certain place in the previous year can be approximately expressed as a function of the month $x($month$)$, i.e., $y=a+b\sin ( \frac {π}{6}x+ \frac {π}{6})(a,b$ are constants$)$. If the average monthly temperature in June was approximately $22℃$, and in December it was approximately $4℃$, what was the average monthly temperature in August?

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