`sin^-1 (sin ((7pi)/6))=` (A) `(7pi)/6` (B) `pi/6` (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 (-1/2)+tan^-1 (sqrt(3))= (A) -pi/6 (B) pi/3 (C) pi/6 (D) none of these

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

cos^(-1)(cos((7pi)/6)) is equal to (A) (7pi)/6 (B) (5pi)/6 (C) pi/3 (D) pi/6

If the product of the roots of the equatiin 2x^2+ax+4sina=0 is 1, then the roots will be imaginary if (A) aepsilon R (B) aepsilon {(-7pi)/6, pi/6} (C) aepsilon {pi/6, (5pi)/6} (D) none of these

Which of the following is not the solution of the equation sin5x=16sin^5x(n in Z)? (a) npi (b) npi+pi/6 (c) npi-pi/6 (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 value of c in Lagranges theorem for the function f(x)=logsinx in the interval [pi/6,(5pi)/6] is (a) pi/4 (b) pi/2 (c) (2pi)/3 (d) none of these

The value of sin^(-1)(-sqrt3/2)+cos^(-1)(cos\ (7pi)/6) is a. (5pi)/6 b. pi/2 c. (3pi)/2 d. none of these

If (1-tanx)/(1+tanx)=tany and x-y = pi/6 , then x,y are respectively (A) (5pi)/24,pi/24 (B) -(7pi)/24, - (11pi)/24 (C) -(115pi)/24, (-119pi)/24 (D) none of these