The set of values of a for which the equation `Sin^4 x + Cos^4 x = a` has a solution is

Write the set of values of a for which the equation sqrt(3)sin x-cos x=a has no solution.

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

The set of values of lambda for which the equation "sin"^(4) x + "cos"^(4) x =lambda has a solution, is

The set of values of alpha for which the equation "sin"^(4) x + "cos"^(4) x + "sin" 2x + alpha =0 possesses a solution, is

The range of value's of k for which the equation 2 cos^(4) x - sin^(4) x + k = 0 has atleast one solution is [ lambda, mu] . Find the value of ( 9 mu + lambda) .

The range of value's of k for which the equation 2 cos^(4) x - sin^(4) x + k = 0 has atleast one solution is [ lambda, mu] . Find the value of ( 9 mu + lambda) .

The range of the values of p for which the equation sin cos^(-1)(cos(tan^(-1)x))=p has a solution is

The range of values of p for which the equation sin cos^(-1) ( cos( tan^(-1) x)) = p has a solution is

The number of integral values of k for which the equation 7cos x+5sin x=2k+1 has a solution is (1)4(2)8(3)10(4)12

The equation sin^(6)x+cos^(6)x=a , has a real solution if