
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 that the function $f(x)= \sqrt {3}\sin ωx-2\sin ^{2} \frac {ωx}{2}(ω > 0)$ has a minimum positive period of $3π$.
(1) Find the maximum and minimum values of the function $f(x)$ in the interval $[- \frac {3π}{4},π]$;
(2) Given that $a$, $b$, $c$ are the sides opposite to angles $A$, $B$, $C$ respectively in an acute triangle $ABC$, and $b=2$, $f(A)= \sqrt {3}-1$, $ \sqrt {3}a=2b\sin A$, find the area of $\triangle ABC$.

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