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The electric field of an electomagnetic wave propagating in the positive z-direction is given by $$\left.E=a_1, \sin (\omega t-\beta z\right)+\dot{a}_w \sin \left(\omega t-\beta z+\frac{\pi}{2}\right)$$ The wave is

1. linearly polarized in the z-direction
2. elliptically polarized
3. left-hand circularly polarized
4. right-hand circularly polarized