The electric field of a plane wave propagating in a lossless non-magnetic medium is given by the following equation $$\overrightarrow{E} (Z,t)= \cos (2 \pi \times 10^{9} t+\beta Z)\hat{a_{x}}+2 \cos (2 \pi \times 10^{9} t +\beta Z+\frac{\pi}{2}) \hat{a_{y}}$$ The type of wave polarization is

A

Right hand elliptical

B

Right hand circular

C

Left hand elliptical

D

Left hand circular