using principal value find tan^-1[cot (pi/3)] Share with your friends Share 0 Anuradha Sharma answered this We know that the principal value branch of tan-1 is -π2,π2So tan-1cot π3, = tan-113, as cot π3=13= tan-1tan π6 as tan π6=13=π6And this value lies within principal value branch of tan-1 so tan-1cot π3=π6. 1 View Full Answer Shruti Prajapati answered this tan-1 [cot(pi/3)] = tan-1 [1/sqrt(3)]now principal range of y=tan-1 x is -pi/2 so, tan-1[1/sqrt(3)] = pi/6 ... as -pi/2 0 Anshuman Bajpai answered this TAN -1[COT PIE/3]TAN-1[1/ROOT3]PIE/6 i.e 30 DEGREE 1