
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 a line tangent to the graph of the function y = sin x (x ∈ [0, π]) at point A, and a line parallel to OP (where O is the origin and P is the point of the maximum value of the graph, intersecting the x-axis at point B), with a perpendicular line to the x-axis drawn through the tangent point A, with the foot of the perpendicular being C. Find the value of BA · BC.

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