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AS91577 Complex numbers

De Moivre's theorem

AAchieved

  1. 1z = 2 cis(π/8). Find z⁶ in polar form.Free
  2. 2z = √3 − i. Use De Moivre’s theorem to find z⁴, in the form a + bi.Free
  3. 3k is a positive real number, and z = k(1 − i). Use De Moivre’s theorem to find z⁶, in the form a + bi in terms of k.Free

MMerit

  1. 4A Merit question, in the pass🔒 Pass
  2. 5A Merit question, in the pass🔒 Pass

EExcellence

  1. 6A Excellence question, in the pass🔒 Pass