Easy -1.8 This is a 1-mark multiple choice question testing direct recall of the argument rule for division in exponential form: arg(z₁/z₂) = arg(z₁) - arg(z₂) = π/3 - π/4 = π/12. Requires only a single arithmetic step with no problem-solving or conceptual challenge, making it significantly easier than average.
Given that \(z_1 = 4e^{i\frac{\pi}{3}}\) and \(z_2 = 2e^{i\frac{\pi}{4}}\)
state the value of \(\arg\left(\frac{z_1}{z_2}\right)\)
Circle your answer.
[1 mark]
\(\frac{\pi}{12}\) \quad \(\frac{4}{3}\) \quad \(\frac{7\pi}{12}\) \quad \(2\)
Given that $z_1 = 4e^{i\frac{\pi}{3}}$ and $z_2 = 2e^{i\frac{\pi}{4}}$
state the value of $\arg\left(\frac{z_1}{z_2}\right)$
Circle your answer.
[1 mark]
$\frac{\pi}{12}$ \quad $\frac{4}{3}$ \quad $\frac{7\pi}{12}$ \quad $2$
\hfill \mbox{\textit{AQA Further Paper 2 Q1 [1]}}