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]`.

Options

A. Smallest positive value of `p =(pi)/(sqrt(2))`
B. Smallest positive value of `p =(pi)/(2sqrt(2))`
C. Smallest positive value of `p =(pi)/(2sqrt(3))`
D. Smallest positive value of `p =(3pi)/(2sqrt(2))`

Answer

B