# Tangent Multiplication

**Geometry**Level pending

What is the value of:

\(\prod {\cot{\theta_{i}}}\)

if \(\theta_{i}\) is an integer that ranges over the interval \(0<\theta_{i}<180^{o}\), but excludes \(\theta_{i}=90^{o}\)?

What is the value of:

\(\prod {\cot{\theta_{i}}}\)

if \(\theta_{i}\) is an integer that ranges over the interval \(0<\theta_{i}<180^{o}\), but excludes \(\theta_{i}=90^{o}\)?

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