9709 P32 - Mar 2024 - Q3 - 6 marks
10030
\(z=-\sqrt3+i\).
(a) Express z² as \(re^{i\theta}\), r>0, \(-\pi<\theta\le\pi\). [3]
(b) z²ω is real and \(|z^2/\omega|=12\). Find the two possible ω in exponential form with principal arguments. [3]
