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" (ii) "tan^(-1)x-tan^(-1)y=tan^(-1)(x-y...

" (ii) "tan^(-1)x-tan^(-1)y=tan^(-1)(x-y)/(1+xy),xy>-1

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Prove that tan^(-1)x-tan^(-1)y=tan^(-1)((x-y)/(1+xy)),xygt-1

tan^(-1)x+tan^(-1)y=pi+tan^(-1)((x+y)/(1-xy))

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" (a) "tan^(-1)x+tan^(-1)y+tan^(-1)z=tan^(-1)(x+y+z-xyz)/(1-xy-yz-zx)

Assertion (A) : The value of "tan"^(-1)+"tan"^(-1)3=(3pi)/(4) Reason (R) : If x gt 0, y gt , 0, xy gt 1 then tan^(-1)x+tan^(-1)y=pi +tan^(-1)((x+y)/(1-xy))

tan^(-1)x-tan^(-1)y=tan^(-1)((x-y)/(1+xy)) holds good for