Problem #$2(20$ pts$)$:

The electric field of a plane wave propagating in air has the following expression given by vec$(E)(t,x,z)=$hat$(y)4\mathrm{.}7cos(t-5x+12z-\frac{}{4})(\frac{V}{m}).$ Find:

a$)$ The frequency of the wave

b$)$ The angle between the direction of propagation and the $+$x $-$direction

c$)$ The phasor expression of the electric field

d$)$ The phasor expression for the associated magnetic field