
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 $$f(x)= \sqrt {3}\sin(\omega x+\varphi)$$ where $$\omega > 0$$ and $$-\frac {\pi}{2} \leq \varphi < \frac {\pi}{2}$$, the graph of the function is symmetric about the line $$x= \frac {\pi}{3}$$, and the distance between two adjacent highest points on the graph is $\pi$.
(1) Find the values of $\omega$ and $\varphi$;
(2) When $$x \in [0, \frac {\pi}{2}]$$, find the maximum and minimum values of the function $y=f(x)$.

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