
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 $f(x)=\sin ^{2}wx-\sin ^{2}(wx- \frac {π}{6})$ $(x\in R,w)$, where $w$ is a constant and $\frac {1}{2} < w < 1$, the graph of the function $f(x)$ is symmetric about the line $x=π$.
(I) Find the smallest positive period of the function $f(x)$;
(II) In $\triangle ABC$, if $a=1$, $f( \frac {3}{5}A)= \frac {1}{4}$, find the maximum area of $\triangle ABC$.

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