
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 $f(x)=\sin 2x-2 \sqrt {3}\sin ^{2}x+2 \sqrt {3}$.
(I) Find the range of $f(x)$ when $x\in\left[-\dfrac {\pi}{3}, \dfrac {\pi}{6}\right]$;
(II) Given that in an acute triangle $ABC$, $f(A)= \sqrt {3}$, $\sin B= \dfrac {3}{5}$, $b=2$, find the area of the triangle $ABC$.

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