
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
The function $y=\sin(wx+\phi)...(w > 0,|\phi| < \pi)$ is first shifted to the left by $\frac{\pi}{6}$ units, then the horizontal coordinates of all points on the graph are stretched to twice their original values (the vertical coordinates remain unchanged), resulting in the graph of $y=\sin x$. Determine the values of $w=$______ and $\phi =$______.

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