Solution set of inequation (`cos^-1x)^2-(sin^-1x)^2gt0` is (A) `[0, 1/sqrt(2))` (B) `[-1, 1/sqrt(2))` (C) `(-1,sqrt2) (D) none of these

Solution set of inequation (cos^(-1)x)^(2)-(sin^(-1)x)^(2)gt0 is

int_0^pi sqrt((1+cos2x)/2)dx= (A) 0 (B) 1 (C) 2 (D) none of these

A solution of sin^-1 (1) -sin^-1 (sqrt(3)/x^2)- pi/6 =0 is (A) x=-sqrt(2) (B) x=sqrt(2) (C) x=2 (D) x= 1/sqrt(2)

The sum of all the solution(s) of the equation sin^(-1)2x=cos^(-1)x is 0 (2) 2/(sqrt(5)) (3) 1/(sqrt(5)) (4) (-1)/(sqrt(5))

The direction cosines of line joining (1,-1,1) and (-1,1,1) are (A) 2,-2,0 (B) 1,-1,0 (C) 1/sqrt(2)-1/sqrt(2),0 (D) none of these

The solution set of the inequation (1)/(log_(2)x) lt (1)/(log_(2)sqrt(x+2)) , is

The value of intsqrt(1+secx)dx is equal to (A) 2sin^-1(sqrt(2)sin(x/2))+c (B) 2cos^-1(sqrt(2)sin(x/2))+c (C) 2sin^-1(sqrt(2)cos(x/2))+c (D) none of these

Complete solution set of tan^(2)(sin^(-1)x)>1 is (-1,-(1)/(sqrt(2)))uu((1)/(sqrt(2)),1)(b)(-(1)/(sqrt(2)),(1)/(sqrt(2)))-{0}(c)(-1,1)-{0}(d) none of these

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 cos (sin^(-1)(2/sqrt(5)) + cos^(-1)x) = 0, then x is equal to A) 1/sqrt(5) B) (-2/sqrt(5)) C) (2/sqrt(5)) D) 1