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

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

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

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

The sum of all x in [0,pi] which satisfy the equation sin x+(1)/(2)cos x =sin^(2)(x+(pi)/(4)) is - (A) pi/6 (B) (5pi)/6 (C) pi (D) 2pi

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

Number of solution of the equation sin^(65)x-cos^(65)x=-1 is,if x in(-pi,pi) (A) 3 (B) 4(C)2(D)1

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

Q.if solution of the equation 2sin^(-1)x cos^(-1)x-2 pi sin^(-1)x-pi cos^(-1)x+pi^(2)=0 are alpha and beta such that then which of the following is lare correct?

int_0^1d/(dx){sin^(-1)((2x)/(1+x^2))}dx is equal to 0 (b) pi (c) pi//2 (d) pi//4

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)