IB skill practice

Apply de Moivre powers

Use de Moivre theorem to find a modulus or argument after a power.

Paper 1, Paper 2 5 marks Difficulty 3

Apply de Moivre powers - official syllabus scenario

For a transport counter complex number \(z=5\operatorname{cis}(35^\circ)\), find the argument of \(z^5\) in degrees. Enter the requested value and choose the interpretation that matches the result.

Worked practice: result and interpretation

Calculate the requested result first, then choose the interpretation that follows from it.