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

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

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

int_-pi^(3pi) cot^-1(cotx)dx= (A) pi^2 (B) 2pi^2 (C) 3pi^2 (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

If sintheta= - 1/2 and tan theta = 1/sqrt(3) then the most general values of theta equal to (A) 2npi+pi/6 (B) 2npi=(5pi)/6 (C) 2npi+(7pi)/6 (D) none of these

If int_(pi/4)^((3pi)/4) x/(1+sinx)dx=k(sqrt(2)-1) , then k = (A) 0 (B) pi (C) 2pi (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

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

tan^(-1)(x/y)-tan^(-1)((x-y)/(x+y)) is (A) pi/2 (B) pi/3 (C) pi/4 (D) pi/4 or (3pi)/4