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cot x = (cos x) / (sin x)

cos (x - 180) = cos x cos 180 + sin x sin 180 = - cos x

sin (x - 180) = sin x cos 180 - cos x sin 180 = - sin x

cot (x - 180) = (cos (x - 180)) / (sin (x - 180))

= (- cos x) / (- sin x)

= (cos x) / (sin x)

= cot x

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