AS June 2020 Paper 1 Q1

1 Express the complex number \(1 - \mathrm{i}\sqrt{3}\) in modulus-argument form.

Tick (✓) one box. [1 mark]

• \(2\left(\cos\dfrac{\pi}{3} + \mathrm{i}\sin\dfrac{\pi}{3}\right)\)
• \(2\left(\cos\dfrac{2\pi}{3} + \mathrm{i}\sin\dfrac{2\pi}{3}\right)\)
• \(2\left(\cos\left(-\dfrac{\pi}{3}\right) + \mathrm{i}\sin\left(-\dfrac{\pi}{3}\right)\right)\)
• \(2\left(\cos\left(-\dfrac{2\pi}{3}\right) + \mathrm{i}\sin\left(-\dfrac{2\pi}{3}\right)\right)\)