If `|sin^(-1)x|+|cos^(-1)x|=pi/2,t hen ` (a)`x inR` (b) `[-1,1]` (c) `[0,1]` (d) `varphi`

If |sin^(-1)x|+|cos^(-1)x| = pi/2, then x in

If sin^(-1)x-cos^(-1)x=pi/6 , then x= (a) 1/2 (b) (sqrt(3))/2 (c) -1/2 (d) none of these

sin^(-1)(1-x)-2sin^(-1)x=pi/2 , then x is equal to (A) 0,1/2 (B) 1,1/2 (C) 0 (D) 1/2

sin^(-1)(1-x)-2sin^(-1)x=pi/2 , then x is equal to (A) 0,1/2 (B) 1,1/2 (C) 0 (D) 1/2

The number of solutions of the equation cos^(-1)((1+x^2)/(2x))-cos^(-1)x=pi/2+sin^(-1)x is 0 (b) 1 (c) 2 (d) 3

The number of solutions of the equation cos^(-1)((1+x^2)/(2x))-cos^(-1)x=pi/2+sin^(-1)x is 0 (b) 1 (c) 2 (d) 3

f(x)=tan^(-1)x+tan^(-1)(1/x);g(x)=sin^(-1)x+cos^(-1)x are identical functions if (A) x in R (B) x >0 (C) x in [-1,1] (D) x in [0,1]

If sin^(-1)x+cot^(-1)(1/2)=pi/2,\ t h e n\ x is 0 b. 1/(sqrt(5)) c. 2/(sqrt(5)) d. (sqrt(3))/2

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]

f(x)=tan^(-1)x+tan^(-1)(1/x);g(x)=sin^(-1)x+cos^(-1)x are identical functions if x in R (b) x >0 (c) x in [-1,1] (d) x in [0,1]