
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 sharp angles A, B, C satisfy A + B + C = π, and a triangle is constructed with angles A, B, C as its internal angles (with sides a, b, c opposite angles A, B, C respectively), based on the sine and cosine rules we get the equation: sin²A = sin²B + sin²C - 2sinBsinCcosA. Given that sharp angles A, B, C satisfy A + B + C = π, then ( $$\frac {π}{2}$$ - $$\frac {A}{2}$$ ) + ( $$\frac {π}{2}$$ - $$\frac {B}{2}$$ ) + ( $$\frac {π}{2}$$ - $$\frac {C}{2}$$ ) = π. By analogy with the above method, the equation that can be obtained is ______ .

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