
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
Below is the graph of \( y = a \sin (bx + c) + d \) for some positive constants \( a, \) \( b, \) \( c, \) and \( d. \) The graph completes five full cycles between \( x = 0 \) and \( x = 2\pi \). Find \( b. \)

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