
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 the function $f(x)=2 \sqrt {3}\sin x\cos x-2\cos ^{2}x-1,x\in R$.
(I) Find the minimum positive period and the minimum value of the function $f(x)$;
(II) In $\triangle ABC$, the sides opposite to $A$, $B$, $C$ are $a$, $b$, $c$ respectively, given $c= \sqrt {3},f(C)=0,\sin B=2\sin A$, find the values of $a$ and $b$.

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