
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
If $\sin{\alpha}$ and $\sin{\beta}$ are the roots of $x^2 - ax + b = 0$, and $\cos{\alpha}$ and $\cos{\beta}$ are the roots of $x^2 - cx + d = 0$, calculate the value of cd.

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