
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
In triangle ABC, a, b, and c are the sides opposite to angles A, B, and C, respectively. Given that $$sin(2A+ \frac {π}{6})= \frac {1}{2}$$, b=1, and the area of triangle ABC is $$\frac { \sqrt {3}}{2}$$, find the value of $$\frac {b+c}{sinB+sinC}$$.

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