
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 triangle ABC, where A, B, and C are the internal angles and a, b, and c are their respective opposite sides. If C = $$\frac{\pi}{3}$$, a = 6, and 1 ≤ b ≤ 4, find the range of sinA.

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