
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 triangle ABC, where the sides opposite to angles A, B, C are a, b, c respectively, and c tanC = $\sqrt {3}$(a cosB + b cosA).
(1) Find the measure of angle C.
(2) If triangle ABC is an acute triangle and c = $\sqrt {3}$, find the range of values for a - $\frac {b}{2}$.

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