1. The range of the function `f(x)=tan^(-1)x+cot^(-1)x` is (a) `[-(pi)/(2),(pi)/(2)]` (b) `[0,pi]` (c)`[0,(pi)/(2)]` (d) `{(pi)/(2)}`

Similar Questions

Explore conceptually related problems

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 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 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)

If the range of the function F(x)=tan^-1(3x^2+bx+c) is [0,pi/2) ; (domain in R) then :

The value of tan(pi+x)tan(pi-x)cot^(2)x is

Range of the function : f(x)=log_2((pi+2sin^(- 1)((3-x)/7))/pi)

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

Let f(x)=sin^(-1)x+|sin^(-1)x|+sin^(-1)|x| The range of f(x) is (a) [0,(pi)/(2)] (b) [0,(3pi)/(2)] (c) [0,(pi)/(4)] (d) [0,pi]

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]