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prove that :tan^(-1)((1/2)tan 2A)+ tan^(...

prove that :`tan^(-1)((1/2)tan 2A)+ tan^(-1)(cotA) + tan^(-1)(cot^3A) ={0 ` ` when pi/4 lt Ale pi/2` and `pi , ` ` when ` ` 0 le A le pi/4}`

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