How often Complex numbers and De Moivre's theorem is asked

12 of 12

papers asked it
avg 22 marks · last May 2017

Worth 1–10 marks when it appears as a written question.

Where it was asked

The questions

  1. May/Jun 2012, Q4.110 marks

    Apply De Moivre's theorem to write cos 3θ and sin 3θ as expressions involving powers of sin θ and cos θ.

  2. May/Jun 2012, Q4.210 marks

    Find the cube roots of i, expressing your answers in polar form.

  3. May/Jun 2012, Q4.35 marks

    Given that (a + ib)^3 = 8, prove that a^2 + b^2 = 4. As a hint, first solve for b^2 in terms of a^2, and then solve for a.

  4. Oct/Nov 2011, Q7.11 mark

    State De Moivre's theorem.

  5. Oct/Nov 2011, Q7.2(a)4 marks

    Express sin 4θ in terms of powers of sin θ and cos θ.

The full Spot Map and the marks by year.