Paper 1 · Complex Numbers Lesson 15 of 17

Complex Numbers 15: Polar form, De Moivres theorem and fraction in the power

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You’ll learn

  • Solve equations like Z² = c and Z³ = c by extracting every root with De Moivre
  • Find the cube roots of unity 1, ω, ω² and verify 1 + ω + ω² = 0
  • Handle general fractional powers Z^(p/q) — the denominator q counts the answers
  • Round answers to the required decimal places when the angles are non-standard

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