The range of `f(x)=sin^(-1)(sqrt(x^2+x+1))i s` `(0,pi/2)` (b) `(0,pi/3)` (c) `[pi/3,pi/2]` (d) `[pi/6,pi/3]`

The range of f(x)=sin^(-1)((x^2+1)/(x^2+2)) is [0,pi/2] (b) (0,pi/6) (c) [pi/6,pi/2] (d) none of these

The range of f(x)=cos^(-1)((1+x^2)/(2x))+sqrt(2-x^2) is (a) {0,1+pi/2} (b) {0,1+pi) (c) {1,1+pi/2} (d) {1,1+pi}

Range of tan^(-1)((2x)/(1+x^2)) is (a) [-pi/4,pi/4] (b) (-pi/2,pi/2) (c) (-pi/2,pi/4) (d) [pi/4,pi/2]

The range of the function f(x)=int_(-1)^1(sinxdt)/((1-2tcosx+t^2)i s (a) [-pi/2,pi/2] (b) [0,pi] (c) {0,pi} (d) {-pi/2,pi/2}

Find the range of f(x) = (sin^(-1) x)^(2) + 2pi cos^(-1) x + pi^(2)

The least positive solution of cot(pi/(3sqrt3) sin2x)=sqrt3 lie (a) (0,pi/6] (b) (pi/9,pi/6) (c) (pi/12,pi/9) (d) (pi/3,pi/2)

Range of f(x)=sin^(-1)x+tan^(-1)x+sec^(-1)x is (a) (pi/4,(3pi)/4) (b) [pi/4,(3pi)/4] (c) {pi/4,(3pi)/4} (d) none of these

The range of the function tan^(-1)((x^2+1)/(x^2+sqrt(3))),x in R is a. [pi/6,pi/2) b. [pi/6,pi/3) c. [pi/6,pi/4] d. none of these

The range of f(x)=sec^(-1)((log)_3tanx+(log)_(tanx)3) is (a) [pi/3,pi/2)uu(pi/2,(2pi)/3] (b) [0,pi/2] (c) ((2pi)/3,pi) (d) none of these

The function f(x)=tan^(-1)(sinx+cosx) is an increasing function in (-pi/2,pi/4) (b) (0,pi/2) (-pi/2,pi/2) (d) (pi/4,pi/2)