Find the set of values of k for which ` x^(2) - kx + sin^(-1) ( sin 4) gt 0 ` for all real x .

The set of values of k for which x^2 - kx + sin^-1 (sin 4) > 0 for all real x is

Find the set of values of x , which satisfy sin x * cos^(3) x gt cos x* sin^(3) x , 0 le x le 2pi .

Find the set of values of x , which satisfy sin x * cos^(3) x gt cos * sin^(3) x , 0 le x le 2pi .

If A = sin^2x + cos^4 x , then for all real x :

The set of real values of x for which 2^("log"_(sqrt(2))(x-1)) gt x+ 5, is

Let f(x) be a function such that f '(x)= log _(1//3) (log _(3) (sin x+ a)). The complete set of values of 'a' for which f (x) is strictly decreasing for all real values of x is:

find the maximum value of f(x) = (sin^(-1) (sin x))^(2) - sin^(-1) (sin x)

solve sin^(-1) (sin 5) gt x^(2) - 4x

Let If the set of values of k for which f(x) 0 is (p,q) then find the value of (4p+3q), where f(x)=kx^2+x(3-4k)-12.

The set of value of x, satisfying the equation tan^(2)(sin^(-1)x) gt 1 is :