the complete interval of a in which `a cos x + 5 sin x = 13` has no real solution

if cos^4x+sin^2x-p=0 has real solutions then

The interval of x for which cos^(-1)x le sin^(-1)x is :

In which of the following interval, the equation cos ^(2) x+ sin x+1=0 has one solution ?

If x + cos theta = sin theta has a real solution, then

if cos^(4)x+sin^(2)x-p=0 has real solutions then

The smallest positive real value of p for which the equation cos (p sin x) = sin (p cos x) has a solution where x in [0, 2pi] is

The range of y such that the equation in x , y cos x = sin x has a real solution is

The range of 'y, such that the equation in x, y + cos x = sin x has a real solution is

The range of 'y, such that the equation in x, y + cos x = sin x has a real solution is