Forms of Complex Number Q3

Forms of Complex Number Q3

Given \(| z |=2\) and \(\arg z=-\dfrac{2\pi }{3}\), find the real and imaginary parts of \(z\) in exact form.

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Answer:\(z=-1-\sqrt3\,\mathrm{i}\), \(\operatorname{Re}(z)=-1\), \(\operatorname{Im}(z)=-\sqrt3\)

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