# Cotangent Product Sum

**Geometry**Level 2

If \( \alpha + \beta + \gamma = \pi \), what is the value of

\[ \cot \alpha \cot \beta + \cot \beta \cot \gamma + \cot \gamma \cot \alpha? \]

If \( \alpha + \beta + \gamma = \pi \), what is the value of

\[ \cot \alpha \cot \beta + \cot \beta \cot \gamma + \cot \gamma \cot \alpha? \]

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