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[" Prove that "],[2tan^(-1)((1+x)/(1-x))...

[" Prove that "],[2tan^(-1)((1+x)/(1-x))+sin^(-1)((1-x^(2))/(1+x^(2)))=(pi)/(2)]

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Prove that: sin{tan^(-1)((1-x^2)/(2x))+cos^(-1)((1-x^2)/(1+x^2))}=1

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Prove that sin^(-1)((2x)/(1+x^2))=tan^(-1)((2x)/(1-x^2))

Prove that: tan^(-1)((1-x^(2))/(2x))+cot^(-1)((1-x^(2))/(2x))=(pi)/(2)

Prove that: tan^(-1)((1-x^2)/(2x))+cot^(-1)((1-x^2)/(2x))=pi/2

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