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Evaluate the following limit : lim(x→a) (cos x - cos a)/(cot x - cot a)

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Evaluate the following limit : \(\lim\limits_{\text x \to a}\cfrac{cos\,\text x-cos\,a}{cot\,\text x-cot\,a} \)

lim(x→a) (cos x - cos a)/(cot x - cot a)

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= \(\lim\limits_{\text x \to a}\cfrac{cos\,\text x-cos\,a}{cot\,\text x-cot\,a} \)

lim(x→a) (cos x - cos a)/(cot x - cot a)

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