
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 $f(x)=\sin x+\sin (x+ \frac {π}{3}).$
(I) Find the minimum value of $f(x)$, and the set of $x$ values for which $f(x)$ attains this minimum;
(II) Without drawing a graph, explain how the graph of the function $y=f(x)$ can be obtained through transformations of the graph of $y=\sin x$.

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