The smallest and the largest value of tan-1 (1-x/1+x) if x belongs to [0,1] Share with your friends Share 5 Devesh Kumar answered this We have to find the smallest and the largest value of tan-1 (1-x1+x) if x belongs to [0,1]we know 0≤x≤1⇒0≥-x≥-1⇒1-1≤1-x≤0+1⇒0≤1-x≤1 …1similarly,we know 0≤x≤1⇒1≤1+x≤2 …2divide eq 1 by 20≤1-x1+x≤120≤tan-11-x1+x≤0.463radianTherefore smallest value=0& largest value=0.463 Radian Answer -40 View Full Answer