The set of values of k for which `x^2 - kx + sin^-1 (sin 4) > 0` for all real x 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 kx^(2)-x-k+1<0AA x in R, is

The set of all x for which sin x<=x is

The set of value(s) of k for which f(x)=sin x-cos x-kx is decreasing for all values of x ,is

Write the set of values of k for which f(x)=kx-sin x is increasing on R .

Let f(x)=x^(2)+kx;k is a real number.The set of values of k for which the equation f(x)=0 and f(f(x))=0 have same real solution set.

If A= sin^(2) x + cos^(4) x then for all real x

Let (sin a) x^(2) + (sin a) x + 1 - cos a = 0 . The set of values of a for which roots of this equation are real and distinct, is

The set of all values of alpha for which x^(2)-9+|x+sin alpha|<0 has a solution is

The set of values of 'a' for which the equation "sin" x ("sin"x +"cos" x) = a has real solutions, is