If \( x_{1}, x_{2}, \ldots, x_{n} \) are real numbers, then the largest value of the expression ...

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If \( x_{1}, x_{2}, \ldots, x_{n} \) are real numbers, then the largest value of the expression \( \sin x_{1} \cos x_{2}+\sin x_{2} \cos x_{3}+\ldots+\sin x_{n} \cos x_{1} \), is
(A) \( n \)
(B) \( \frac{n}{2} \)
(C) \( \frac{n}{4} \)
(D) \( \sqrt{n^{2}-1} \)
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