With all angles measured in degrees, the product \prod_{k=1}^{45} \csc ^{2}(2 k-1)^{\circ}=m^{n}, where m and n are integers greater than 1 . Find m+n.
With all angles measured in degrees, the product \prod_{k=1}^{45} \csc ^{2}(2 k-1)^{\circ}=m^{n}, where m and n are integers greater than 1 . Find m+n.