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

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.
- $\cos \left( ( 2 n + 1 ) \cdot 90 ^ { \circ } \right)$

A) 0
B) $- 1$
C) Undefined
D) 1

Correct Answer:

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