`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`

If sin^(-1)(1-x)-2 sin^(-1)x=(pi)/(2) , then x is equal to

sin(pi/3-sin^(-1)(-1/2)) is equal to (A) 1/2 (B) 1/3 (C) 1/4 (D) 1

If A=1/pi[sin^(-1)(pix)tan^(-1)(x/pi)sin^(-1)(x/pi)cot^(-1)(pix)] and B=1/pi[-cot^(-1)(pix)tan^(-1)(x/pi)sin^(-1)(x/pi)-tan^(-1)(pix)] , then A-B is equal to I (b) 0 (c) 2I (d) 1/2I

If A=1/pi[[sin^(-1)(pix),tan^(-1)(x/pi)], [sin^(-1)(x/pi),cot^(-1)(pix)]] and B=1/pi[[-cos^(-1)(pix),tan^(-1)(x/pi)],[sin^(-1)(x/pi),-tan^(-1)(pix)]] , then A-B is equal to I (b) 0 (c) 2I (d) 1/2I

If sin^-1 x+sin^-1=(2pi)/3, then cos^-1 x cos^-1 y is equal to

If sin^-1 x+sin^-1=(2pi)/3, then cos^-1 x cos^-1 y is equal to

If f(x)={(sin(cosx)-cosx)/((pi-2x)^2)\ \ \ ,\ \ \ x!=pi/2\ \ \ \ \ \ \ \ \ \ \ \ \ \ \k\ \ \ \ ,\x=pi/2 is continuous at x=pi/2 , then k is equal to (a) 0 (b) 1/2 (c) 1 (d) -1

If sin^(-1)x+sin^(-1)y=pi/2,t h e n(1+x^4+y^4)/(x^2-x^2y^2+y^2) is equal to 1 (b) 2 (c) 1/2 (d) none of these

If sin^(-1)x+sin^(-1)y=pi/2,t h e n(1+x^4+y^4)/(x^2-x^2y^2+y^2) is equal to 1 (b) 2 (c) 1/2 (d) none of these

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