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Modulus and argument of a complex number

Modulus and argument of a complex number

IB Year 6 | Grade 12

Find the modulus and argument of each of the following complex numbers by using an Argand diagram.

  1. \(-3\)
  2. \(-2i\)
  3. \(-1+i\)
  4. \(1-i\sqrt{3}\)
  5. \(\pi\)

Solution:

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Answer:(i) \(3,\pi\) (ii) \(2,-\frac\pi2\) (iii) \(\sqrt2,\frac{3\pi}4\) (iv) \(2,-\frac\pi3\) (v) \(\pi,0\). Arguments are principal values.

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