Simplify sec^-1 (1/2x^2-1) , 0<x<1/root2 Share with your friends Share 0 Vijay Kumar Gupta answered this Dear Student, Consider the following expression. sec-112x2-1 , 0<x<12Put x=cosθ so that θ=cos-1x.Then, the given expression becomes sec-112x2-1=sec-112cos2θ-1 =sec-11cos2θ Using cos2A=2cos2A-1 =sec-1sec2θ =2θ =2 cos-1x Regards 2 View Full Answer Jigar answered this Let x = cos(y) Denominator will be 2 cos^2(y) - 1 = cos(2y) 0
