If tan A – tan B = x and cot B – cot A = y, then what is the value of cot (A – B)?

1
\(\frac{1}{x} + \frac{1}{y}\)
2
\(\frac{1}{y} - \frac{1}{x}\)
3
\(\frac{{xy}}{{x + y}}\)
4
\(1 + \frac{1}{{xy}}\)

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