
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 that points P($$\frac{\pi}{12}$$, 1) and Q($$\frac{5\pi}{12}$$, -1) are adjacent highest and lowest points respectively on the graph of the function f(x) = sin(ωx + φ) (ω > 0, |φ| < $$\frac{\pi}{2}$$), find the value of ωφ.

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