`sin^-1 (cos(sin^-1(sqrt(3)/2))=` (A) `pi/3` (B) `pi/6` (C) `- pi/6` (D) none of these

sin^-1 (sin ((7pi)/6))= (A) (7pi)/6 (B) pi/6 (C) -pi/6 (D) none of these

sin^-1 (-1/2)+tan^-1 (sqrt(3))= (A) -pi/6 (B) pi/3 (C) pi/6 (D) none of these

sqrt(3)int_0^pi dx/(1+2sin^2x)= (A) -pi (B) 0 (C) pi (D) none of these

sum_(n=1)^oo sin^-1( (sqrt(n)-(sqrt(n-1)))/(sqrt((n)(n+1)) )= (A) pi/4 (B) pi/2 (C) - pi/3 (D) pi/3

The value of sin^(-1)("cot"(sin^(-1)((2-sqrt(3))/4+cos^(-1)(sqrt(12))/4+sec^(-1)sqrt(2))))i s (a) 0 (b) pi/2 (c) pi/3 (d) none of these

The value of sin^(-1)(3/(sqrt(73)))+cos^(-1)((11)/(sqrt(146)))+cot^(-1)sqrt(3) is (A) (5pi)/(12) (B) (17pi)/(12) (C) (7pi)/(12) (D) None of these

The range of f(x)=sin^(-1)((x^2+1)/(x^2+2)) is (a) [0,pi/2] (b) (0,pi/6) (c) [pi/6,pi/2] (d) none of these

The range of f(x)=sin^(-1)((x^2+1)/(x^2+2)) is (a)[0,pi/2] (b) (0,pi/6) (c) [pi/6,pi/2] (d) none of these

Value of cos^(-1) (-(1)/(2)) + sin ^(-1)""(1)/(2) is: a) 2 pi b) (pi)/(2) c) pi d) none of these

cos^-1 {-sin((5pi)/6)}= (A) - (5pi)/6 (B) (5pi)/6 (C) (2pi)/3 (D) -(2pi)/3