Range of `sec^(-1)x` is

Range of sec^(-1)[1+cos^(2)x] is {sec^(-1)a,sec^(-1)b} then a+b =? (where [.] is GIF)

Range of f(x)=sin^(-1)x+sec^(-1)x is

The range of y=(sec^(2)x-|sec x|+4)/(sec^(2)x+|sec x|+4)is(1)[(3)/(5),1)(3)[(2)/(3),1)(4)[(1)/(3),1)

Range of f(x)=sin^(-1)x+tan^(-1)x+sec^(-1)x is

The range of sec^(2)x+"4 cosec"^(2)x is

Column I, Column II Range of f(x)=sin^(-1)x+cos^(-1)x+cot^(-1)xi s , p. [0,pi/2]uu[pi/2,pi] Range of f(x)= cot^(-1)x+tan^(-1)x+cos e c^(-1)xi s , q. [pi/2,(3pi)/2] Range of f(x)=cot^(-1)x+tan^(-1)x+cos^(-1)xi s , r. [0,pi] Range of f(x)= sec^(-1)x+cos e c^(-1)x+sin^(-1)xi s , s. [(3pi)/4,(5pi)/4]

Column I, Column II Range of f(x)=sin^(-1)x+cos^(-1)x+cot^(-1)xi s , p. [0,pi/2]uu[pi/2,pi] Range of f(x)= cot^(-1)x+tan^(-1)x+cos e c^(-1)xi s , q. [pi/2,(3pi)/2] Range of f(x)=cot^(-1)x+tan^(-1)x+cos^(-1)xi s , r. [0,pi] Range of f(x)= sec^(-1)x+cos e c^(-1)x+sin^(-1)xi s , s. [(3pi)/4,(5pi)/4]

Range of f(x)=sec^(2)x+4cos ec^(2)x

Range of f(x)=sin^(- 1)x+sec^(- 1)x is

The range of the principal value branch of the function y= sec^(-1)x is ............