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[tan^(-1)((1)/(2)tan2A)+tan^(-1)(cot A)+...

[tan^(-1)((1)/(2)tan2A)+tan^(-1)(cot A)+tan^(-1)(cot^(3)A)

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Let f(x)=tan^(-1)((1)/(2)tan2x)+tan^(-1)(cot x)+tan^(-1)(cot^(3)x)then (1) f((3 pi)/(8))=pi(2)f((pi)/(8))=0(3)f((pi)/(8))=pi(4)f((3 pi)/(8))=0

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tan^(-1)(cot x)-tan^(-1)(cot2x)=

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