The Range of the function `y=((cos^(-1)(3x-1))/pi+1)^2` (1) `[1,4]` (2) `[0,pi]` (3) `[1,pi]` (4) `[0,pi^2]`

Range of function f(x)=cot^(-1)(2x-x^2), is (a) [pi/4,(3pi)/2] (b) [0,pi/4] [0,pi/2] (d) [pi/4,pi]

Range of the function f(x)=(cos^(-1)abs(1-x^(2))) is a. [0,pi/2] " " b. [0,pi/3] c. (o,pi) " " d. (pi/2,pi)

The range of the function f(x) = cot^(-1)log_(0.5) (x^4 -2x^(2) +3) is a) (0,pi) b) (0,3pi//4) c) [3pi//4,pi) d) [pi//2, 3pi//4]

If f(x)=cos^(-1)((2x^2+1)/(x^2+1)), then rang of f(x) is [0,pi] (2) (0,pi/4] (0,pi/3] (4) [0,pi/2)

The solution set of the inequality 4(cos^(-1)x)^2-1geq0 is (a) [-1,cos1/2] (b) [0,pi/3] (c) (cos1/2,1] (d) [pi/3,(2pi)/3]

The range of the function f(x)=int_(-1)^(1)(sin xdt)/((1-2t cos x+t^(2))is) (a) [-(pi)/(2),(pi)/(2)]( b) [0,pi](c){0,pi}(d){-(pi)/(2),(pi)/(2)}

The range of function f(x)=cot^(-1)x+sec^(-1)x+ cosec^(-1)x is (A) [(pi)/(2), pi)uu(pi, (3 pi)/(2)] (B) ((pi)/(2), (3 pi)/(4)] uu [(5 pi)/(4), (3 pi)/(2)) (C) ((pi)/(2), pi)uu(pi ,(3 pi)/(2)) (D) ((pi)/(2), (3 pi)/(2))

The largest interval lying in (-pi/2,pi/2) for which the function [f(x)=4^-x^2+cos^(-1)(x/2-1)+log(cosx)] is defined, is (1) [0,pi] (2) (-pi/2,pi/2) (3) [-pi/4,pi/2) (4) [0,pi/2)

The largest interval lying in (-pi/2,pi/2) for which the function [f(x)=4^-x^2+cos^(-1)(x/2-1)+log(cosx)] is defined, is (1) [0,pi] (2) (-pi/2,pi/2) (3) [-pi/4,pi/2) (4) [0,pi/2)

The largest interval lying in (-pi/2,pi/2) for which the function [f(x)=4^-x^2+cos^(-1)(x/2-1)+log(cosx)] is defined, is (1) [0,pi] (2) (-pi/2,pi/2) (3) [-pi/4,pi/2) (4) [0,pi/2)