
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) = sin(ωx + 2φ), where ω > 0 and φ ∈ (-π/2, 0), is an even function with the smallest positive period of π.
(I) Find the values of ω and φ;
(II) If the graph of f(x) is shifted to the left by π/8 units to obtain the graph of function g(x), find the interval where g(x) is monotonically decreasing.

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