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

The range of f(x)=sin^(-1)((x^2+1)/(x^2+2)) is (a)[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) {1,1+pi/2} (d) {1,1+pi}

Range of function f(x)=|6sin^(-1)x-pi|+|6cos^(-1)x-pi| is (a) [0,9pi] (b) [0,3pi] (c) [pi,3pi] (d) [ pi,9pi]

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

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]

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 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)

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)