Specialist2025 NHT Exam 2 Section A · Q4CAS active1 mark

Argument of a power of a complex number

Consider the complex numbers $z$ and $w$ , where $w = -1 + \sqrt{3}i$ , $|zw| = 2\sqrt{2}$ and $\operatorname{Arg}(zw) = -\frac{7\pi}{12}$ .

The value of $\operatorname{Arg}(z^3)$ is

1 mark

-\frac{3\pi}{4}

-\frac{\pi}{4}

\frac{\pi}{4}

\frac{3\pi}{4}

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