The true set of valued of 'K' for which `sin ^(-1)((1)/(1+sin ^(2)x)) = (kpi)/(6)` may have a solution is :

The true set of values of p for which the equation cos^(-1)((1)/(1+cos^(2)x))=(p pi)/(3) have a solution is

The set of values of x for which tan^(-1)(x)/sqrt(1-x^(2))=sin^(-1) x holds is

The exhaustive set of values of a for which a-cot^(-1)3x=2tan^(-1)3x+cos^(-1)xsqrt(3)+sin^(-1)xsqrt(3) may have solution is

The set of values of k for which x^(2)-kx+sin^(-1)(sin4)>0 for all real x is

The set of values of k for which the equation sin^(-1)x+cos^(-1)x +pi(|x|-2)=k pi possesses real solution is [a,b] then the value of a + b is

The set of values of k for which the equation sin^(-1)x+cos^(-1)x +pi(|x|-2)=k pi possesses real solution is [a,b] then the value of a + b is

Find the values of a for whilch the equation sin^(4)x+a sin^(2)x+1=0 will have ea solution.

The set of values of 'x' for which the formula 2sin^(-1)x=sin^(-1)2x sqrt(1-x^(2)) is true is

The number of integral values of k for which the equation sin^(-1)x+tan^(-1)x=2k+1 has a solution is

The number of integral values of k for which the equation sin^(-1)x+tan^(-1)x=2k+1 has a solution is