CAPE Pure Mathematics Unit 2 · May/June 2019 · Paper 1 · Question Q8

Given that z = -1 + \sqrt{3}\,i, then the exponential form of the complex number z is

1. (A)2e^{\frac{\pi}{3}i}
2. (B)2e^{\frac{2\pi}{3}i}
3. (C)2e^{\frac{2\pi}{3}i}
4. (D)2e^{\frac{5\pi}{6}i}