
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 $f(x)=A\sin (\omega x+ \frac {\pi}{3})$ ($A > 0$, $\omega > 0$) whose graph's adjacent axes of symmetry are separated by a distance of $\pi$, and it passes through the point $( \frac {\pi}{3}, \frac { \sqrt {3}}{2})$  
$(1)$ Find the analytic expression of the function $f(x)$;  
$(2)$ If angle $\alpha$ satisfies $f(\alpha)+ \sqrt {3}f(\alpha- \frac {\pi}{2})=1$, $\alpha\in(0,\pi)$, find the value of $\alpha$．

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