
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) = 3sin(ωx + $\frac{π}{6}$), where ω > 0, x ∈ (-∞, +∞), and $\frac{π}{2}$ is the minimum positive period.

1. Find f(0).
2. Find the analytical expression of f(x).
3. If f($\frac{α}{4}$ + $\frac{π}{12}$) = $\frac{9}{5}$, find the value of sinα.

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