" 8."2tan^(-1)(1)/(3)=tan^(-1)(3)/(4)

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Prove that 2tan^(-1)((1)/(2))=tan^(-1)((4)/(3))

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"tan"^(-1)((1)/(3))+ "tan"^(-1)((2)/(9)) + tan^(-1)((4)/(3^(3))) + ....oo is equal to