Given that ${{\left( \frac{{{\left( 2-2\mathbf{i} \right)}^{2}}}{-\sqrt{3}+k\mathbf{i}} \right)}^{*}

Question

Given that ${{\left( \frac{{{\left( 2-2\mathbf{i} ight)}^{2}}}{-\sqrt{3}+k\mathbf{i}} ight)}^{*}}=4{{\mathrm{e}}^{\mathbf{i}	heta }}$, where $k$ is a positive real number and $-\pi Show that $k=1$, [2] Hence find the exact value of $	heta $. [4]

Accepted Answer

$k=1$, $\theta=-\frac{2 def\temp{}\pi}{3}$

2018 ACJC CA2 Q2

2018 ACJC CA2 Q2

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