The value of \( \lim _{x \rightarrow a} \frac{\cos x-\cos a}{\cot x-\cot a} \) is (a) \( -\sin ^...

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The value of \( \lim _{x \rightarrow a} \frac{\cos x-\cos a}{\cot x-\cot a} \) is
(a) \( -\sin ^{3} a \)
(b) \( \cos ^{3} a \)
(c) \( \sin ^{3} a \)
(d) \( \cot a \)
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