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AS91577 Complex numbers

Solving zⁿ = r cis θ and zⁿ = a + bi

MMerit

  1. 1Use polar form and De Moivre’s theorem to solve z³ = 8. Find all three solutions, in the form a + bi.Free
  2. 2An Auckland RF designer places the poles of a filter at the solutions of z⁴ = 16 on an Argand diagram. Use polar form and De Moivre’s theorem to find all four solutions.Free
  3. 3Solve z³ = −8i. Use De Moivre’s theorem to find all three solutions, in the form a + bi.Free
  4. 4A Merit question, in the pass🔒 Pass
  5. 5A Merit question, in the pass🔒 Pass
  6. 6A Merit question, in the pass🔒 Pass
  7. 7A Merit question, in the pass🔒 Pass
  8. 8A Merit question, in the pass🔒 Pass
  9. 9A Merit question, in the pass🔒 Pass
  10. 10A Merit question, in the pass🔒 Pass
  11. 11A Merit question, in the pass🔒 Pass
  12. 12A Merit question, in the pass🔒 Pass

EExcellence

  1. 13A Excellence question, in the pass🔒 Pass
  2. 14A Excellence question, in the pass🔒 Pass
  3. 15A Excellence question, in the pass🔒 Pass
  4. 16A Excellence question, in the pass🔒 Pass
  5. 17A Excellence question, in the pass🔒 Pass