
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 $y = A \sin (Bx + C) + D + E \cos (Fx + G) + H$ for some constants $A, B, C, D, E, F, G, H$. The graph exhibits a combined behavior of sinusoidal functions and covers six periods from $0$ to $2\pi$. Find the value of $B$ if $A = 3$, $E = 2$, $F = B$, and $A \neq E$.

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