In triangle ABC, prove that, tan((B-C)...

In triangle ABC, prove that,
`tan((B-C)/(2))=(b-c)/(b+c)cot((A)/(2))`
`tan((C-A)/(2))=(c-a)/(c+a)cot((B)/(2))`
`tan((A-B)/(2))=(a-b)/(a+b)cot((C)/(2))`

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