
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
Let \\(f(x)=3\sin (\omega x+ \frac {\pi}{6})\\), where \\(\omega > 0\\) and \\(x\in(-\infty,+\infty)\\), and the function has a minimum period of \\(\frac {\pi}{2}\\).

\\((1)\\) Find \\(f(0)\\).

\\((2)\\) Find the expression for \\(f(x)\\).

\\((3)\\) Given that \\(f( \frac {\alpha}{4}+ \frac {\pi}{12})= \frac {9}{5}\\), find the value of \\(\sin \alpha\\).

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