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1 markPaper 1 · Multiple choiceComplex Numbers

CAPE Pure Mathematics Unit 2 · May/June 2017 · Paper 1 · Question Q2

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

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

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