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Represents the complex number $\;z=1+ \sqrt{3} i \;$ in the polar form

$(a)\;2(cos \large\frac{\pi}{3}+ i sin\large\frac{\pi}{3})\qquad(b)\;2(cos \large\frac{\pi}{5}+ i sin\large\frac{\pi}{5})\qquad(c)\;(cos \large\frac{\pi}{3}+ i sin\large\frac{\pi}{3})\qquad(d)\;0$

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