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Obtaining modulus and argument

Obtaining modulus and argument

IB Year 6 | Grade 12

If \(z=\sqrt{2}\mathrm{cis}\theta\), find the modulus and argument of

  1. \(2z\)
  2. \(iz\)
  3. \((1-i)z\)

Solution:

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Answer:(a) \(2\sqrt2,\theta\) (b) \(\sqrt2,\theta+\frac\pi2\) (c) \(2,\theta-\frac\pi4\). Arguments are modulo \(2\pi\).

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