If tan a=x+1 and tan B=x-1, show that cot(a+B)=2-x^2/2x

tan A = x+1

tan B = x-1

tan (A+B) = (tan A +tan B)/(1-tan A tan B)= (x+1+x-1)/(1-(x^2-1)= 2x/(2-x^2)

cot (A+B) =1/tan (A+B) = (2-x^2)/2x

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