
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 equation of \(y = a \sin(bx + c) + d\) representing a sinusoidal graph where \(a, b, c,\) and \(d\) are positive constants. It is observed that the graph completes two periods within the interval of \(4\pi\). Find the value of \(b\).

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