Find the smallest positive number p for which the equation `cos (p sin x) = sin (p cos x)` has a solution `x in [0,2pi]`.

Find the smallest positive number p for which the equation cos (p sinx) = sin ( p cos x) has a solution when x in [0,2pi].

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

Find the values of p for which the equation 1+p sin x=p^(2)-sin^(2)x has a solution

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

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