
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]


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Cosine theorem: In any triangle, the square of any side is equal to the sum of the squares of the other two sides minus twice the product of these two sides and the cosine of the angle between them.<br/>Symbolic language: $a^{2}=$______, $b^{2}=$______, $c^{2}=$______.

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