Forms of Complex Numbers Q7

Forms of Complex Numbers Q7

Express

\({{e}^{\mathrm{i}\pi }}\) and
\({{e}^{1+\mathrm{i}\frac{\pi }{6}}}\) in Cartesian form.

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Answer:(i) \( -1 \); (ii) \( \frac{e}{2}(\sqrt{3} + i) \)

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