IB skill practice

Convert polar complex numbers to rectangular form

Use modulus and argument to find a rectangular component.

Paper 1, Paper 2 5 marks Difficulty 5

Convert polar complex numbers to rectangular form - depth scenario

A complex number is \(z=8\operatorname{cis}60^\circ\). Find its real component. 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.