tan inverse x minus 1 upon x minus 2 + tan inverse x plus 1 upon x plus 2 equal pi by 4

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tan^-1 (x-1)/(x-2) + tan^-1 (x+1)/(x+2)=pi/4. find X | 12 | INVERES TRIGONOMETRIC FUNCTIONS | MA... tan^-1 (x-1)/(x-2) + tan^-1 (x+1)/(x+2)=pi/4. find X | 12 | INVERES TRIGONOMETRIC FUNCTIONS | MA...
'tan-1(x-1/x-2)+tan-1(x+1/x+2)=π/4' || 'tan-1(x-1/x-2)+tan-1(x+1/x+2)=pi/4' ||
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Prove that i) `tan^(-1)(1+x)/(1-x)=pi/4 + tan^(-1)x,x lt 1` ii) `tan^(-1)x+cot^(-1)(x+1)=tan^(-1) Prove that i) `tan^(-1)(1+x)/(1-x)=pi/4 + tan^(-1)x,x lt 1` ii) `tan^(-1)x+cot^(-1)(x+1)=tan^(-1)