
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 graph of the function y=f(x) is transformed by shifting it left by $\frac{\pi}{12}$ units, then stretching the x-coordinates of all points on the resulting graph to twice their original length. This results in the graph of the function y=cos(2x).
(I) Find the value of f(π);
(II) Find the interval(s) on which f(x) is strictly increasing.

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