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If N Is an Integer, N ∙ 180° Represents an Integer

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If n is an integer, n ∙ 180° represents an integer multiple of 180°, and (2n + 1) ∙ 90° represents an odd integer multiple of
90°. Decide whether the expression is equal to 0, 1, -1, or is undefined.
- cot(n180) \cot \left( \mathrm { n } \cdot 180 ^ { \circ } \right)

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