9709 P31 - Jun 2024 - Q4 - 4 marks
9986
\(u=-1-\sqrt3\,i\).
(a) Express u as \(r(\cos\theta+i\sin\theta)\), r>0, \(-\pi<\theta\le\pi\), giving exact r,θ. [2]
\(v=5[\cos(\pi/6)+i\sin(\pi/6)]\).
(b) Express v/u as \(re^{i\theta}\), with r>0 and \(-\pi<\theta\le\pi\). [2]
