If $\operatorname{Tan} \alpha-\operatorname{Tan} \beta=m$ and $\cot \a – InterviewSolution

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1.	If $\operatorname{Tan} \alpha-\operatorname{Tan} \beta=m$ and $\cot \alpha-\cot \beta=n$then prove that $\cot (\alpha-\beta)=\frac{1}{m}-\frac{1}{n}$
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