Question

plz give this answer I am in emergency

Answer 1

$\huge\mathcal Given\\\left(\frac{\sqrt{3}}{2}+\frac{i}{2}\right)^3\\=(cos 30°+i sin 30°)^3\\= (cis 30°)^3\\=cis 3(30°)\\=cis 90°\\cis90°= cos 90° + i sin 90°\\= 0+ i (1)\\=i\\Hence\:proved.$

${(cis \: x)}^{n} = cis \: nx$

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