`sin^(-1)x+cos^(-1)x,x in[-1,1]=`
(A) `0`
(B) `(pi)/(2)`
(C) `pi`
(D) `2 pi`

sin^(-1)x+cos^(-1)x,x in[-1,1] = (A) 0 (B) pi/2 (C) pi (D) 2pi

If sin^(-1)x+sin^(-1)y=(2 pi)/(3) ,then the value of cos^(-1)x+cos^(-1)y is (A) (2 pi)/(3) (B) (pi)/(3) (C) (pi)/(2) (D) pi

int_-1^1 sin^-1(x/(1+x^2))dx= (A) pi/4 (B) pi/2 (C) pi (D) 0

The value of sin^(-1)(cos(cos^(-1)(cos x)+sin^(-1)(sin x))) where x in((pi)/(2),pi), is equal to (pi)/(2)(b)-pi(c)pi (d) -(pi)/(2)

int_ (0) ^ ((pi) / (2)) tan ^ (- 1) ((1 + sin x) / (cos x)) dx is (A) pi (B) (3 pi ^ (2)) / (16) (C) (pi ^ (2)) / (8) (D) (pi) / (8)

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

If f(x)=sin x-x, then int_(-2 pi)^(2 pi)|f^(-1)(x)|dx= (A) pi^(2)(B)2 pi^(2)(C)3 pi^(2)(D)4 pi^(2)

The value of int_-1^3 [tan^-1(x/(x^2+1))+tan^-1((x^2+1)/x)]dx= (A) pi/2 (B) 2pi (C) pi (D) pi/4

If sin^-1 x + cos^-1(1/3) =pi/2 then x is (a) pi/2 (b) 1/3 (c) pi/3 (d) 1/2

If a sin^(-1)x-b cos^(-1)x=c, then a sin^(-1)x+b cos^(-1)x is equal to (a)0(b)(pi ab+c(b-a))/(a+b)(c)(pi)/(2)(d)(pi ab+c(a-b))/(a+b)