CAPE Pure Mathematics Unit 2 · May/June 2019 · Paper 1 · Question Q7

The complex number z = \sqrt{3} + i can be expressed as

1. (A)2\left[\cos\frac{\pi}{3} + i\sin\frac{\pi}{3}\right]
2. (B)2\left[\cos\frac{\pi}{6} + i\sin\frac{\pi}{6}\right]
3. (C)\sqrt{2}\left[\cos\frac{\pi}{3} + i\sin\frac{\pi}{3}\right]
4. (D)\sqrt{2}\left[\cos\frac{\pi}{6} + i\sin\frac{\pi}{6}\right]