
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 $f(x)=\sin ^{2}x+ \sqrt {3}\sin x\cos x- \frac {1}{2}(x\in \mathbb{R})$.
(1) Find the minimum positive period and the range of the function $f(x)$;
(2) In $\triangle ABC$, let the angles $A$, $B$, $C$ correspond to the sides $a$, $b$, $c$ respectively, with $A$ being an acute angle, $a=2 \sqrt {3}$, $c=4$. If $f(A)=1$, find $A$ and $b$.

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