Show that superposition of two linearly polarised light waves having different amplitudes and a finite phase difference can be used to produce elliptically plane polarised waves.

When two linearly polarized light waves of different amplitudes and a finite phase difference are superposed, the resulting wave can be elliptically polarized. To demonstrate this, consider two light waves with the following properties:

1. The first wave is linearly polarized along the x-axis:
   \[
   E_1 = A_1 \cos(kx - \omega t)
   \]
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