
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
In acute triangle ABC, angles A, B, and C form an arithmetic sequence.
(1) Find the range of A;
(2) If $\overrightarrow {m}=(2\sin A，2\sin(A+ \frac {π}{12}))$, $\overrightarrow {n}=(\sin A，\cos(A+ \frac {π}{12}))$, find the range of $\overrightarrow {m}\cdot \overrightarrow {n}$.

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