
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, $$\sqrt {3}$$sin $$\frac {B+C}{2}$$\-cosA=1.
(I) Find the measure of angle A;
(II) Find the range of cosB+cosC.

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