
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 $f(x)=\sin ( \frac {π}{4}+x)\sin ( \frac {π}{4}-x)+ \sqrt {3}\sin x\cos x(x∈R)$.
(1) Find the value of $f( \frac {π}{6})$;
(2) In $\triangle ABC$, if $f( \frac {A}{2})=1$, find the maximum value of $\sin B+\sin C$.

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