Level 3 Complex Numbers Walkthrough
2025 NCEA Level 3 Complex Numbers Question 2(b)
2025 Paper
Walkthrough overview
What this question practises
This 2025 walkthrough is part of AS91577 — Apply the algebra of complex numbers in solving problems.
Method: De Moivre’s Theorem and converting to \(a+bi\).
This is Question 2(b) from the 2025 NCEA Level 3 Complex Numbers paper for AS91577 — Apply the algebra of complex numbers in solving problems. Use the guided hints to practise the method before revealing the full working.
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Learning summary
Review the method, not only the answer
This walkthrough helps you practise de Moivre’s Theorem and converting to \(a+bi\). Use the hints to plan the method, then repeat the question without hints and check each step.
Common mistake to avoid
Apply the power to the modulus and multiply the argument by the same power before converting form.
Continue practising
- All 2025 Complex Numbers walkthroughs
- All AS91577 Complex Numbers years
- Practise more questions using this skill: Polar form and De Moivre