
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 $$f(x)=\sin(x+ \frac {\pi}{6})+2\sin^{2} \frac {x}{2}$$.
(1) Find the equation of the axis of symmetry and the coordinates of the center of symmetry for the function $f(x)$.
(2) Determine the intervals of monotonicity for the function $f(x)$.
(3) In triangle $ABC$, $a$, $b$, and $c$ are the sides opposite to angles $A$, $B$, and $C$, respectively, and $a= \sqrt {3}$, $f(A)= \frac {3}{2}$, the area of triangle $ABC$ is $\frac { \sqrt {3}}{2}$. Find the value of $\sin B + \sin C$.

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