Mathematics Trigonometry Trigonometric Identities

If tan A - tan B = x and cot B - cot A = y, then what is cot (A - B) equal to?

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

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